354264976961280 has 2880 divisors, whose sum is σ = 1731103064570880. Its totient is φ = 66893473382400.

The previous prime is 354264976961243. The next prime is 354264976961321. The reversal of 354264976961280 is 82169679462453.

354264976961280 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 6 + 497 + 6 + 9 + 6 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×354264976961280³ (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 354264976961199 and 354264976961208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3935751475 + ... + 3935841485.

It is an arithmetic number, because the mean of its divisors is an integer number (601077452976).

It is a 1-persistent number, because it is pandigital, but 2⋅354264976961280 = 708529953922560 is not.

Almost surely, 2^{354264976961280} is an apocalyptic number.

354264976961280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354264976961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865551532285440).

354264976961280 is an abundant number, since it is smaller than the sum of its proper divisors (1376838087609600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354264976961280 is a wasteful number, since it uses less digits than its factorization.

354264976961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90108 (or 90085 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 354264976961280 in words is "three hundred fifty-four trillion, two hundred sixty-four billion, nine hundred seventy-six million, nine hundred sixty-one thousand, two hundred eighty".