354743359793280 has 1152 divisors, whose sum is σ = 1302352501282560. Its totient is φ = 88938170449920.

The previous prime is 354743359793231. The next prime is 354743359793281. The reversal of 354743359793280 is 82397953347453.

It is a happy number.

354743359793280 is a `hidden beast` number, since 3 + 5 + 4 + 7 + 4 + 3 + 3 + 597 + 9 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 354743359793199 and 354743359793208.

It is not an unprimeable number, because it can be changed into a prime (354743359793281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27073439209 + ... + 27073452311.

It is an arithmetic number, because the mean of its divisors is an integer number (1130514324030).

Almost surely, 2^{354743359793280} is an apocalyptic number.

354743359793280 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 354743359793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651176250641280).

354743359793280 is an abundant number, since it is smaller than the sum of its proper divisors (947609141489280).

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

354743359793280 is a wasteful number, since it uses less digits than its factorization.

354743359793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13330 (or 13284 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 72.

The spelling of 354743359793280 in words is "three hundred fifty-four trillion, seven hundred forty-three billion, three hundred fifty-nine million, seven hundred ninety-three thousand, two hundred eighty".