354204952358400 has 3840 divisors, whose sum is σ = 1627983252403200. Its totient is φ = 75074804121600.

The previous prime is 354204952358377. The next prime is 354204952358417. The reversal of 354204952358400 is 4853259402453.

354204952358400 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 0 + 4 + 9 + 52 + 3 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×354204952358400³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 76058608872 + ... + 76058613528.

It is an arithmetic number, because the mean of its divisors is an integer number (423953971980).

Almost surely, 2^{354204952358400} is an apocalyptic number.

354204952358400 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 354204952358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813991626201600).

354204952358400 is an abundant number, since it is smaller than the sum of its proper divisors (1273778300044800).

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

354204952358400 is a wasteful number, since it uses less digits than its factorization.

354204952358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 354204952358400 in words is "three hundred fifty-four trillion, two hundred four billion, nine hundred fifty-two million, three hundred fifty-eight thousand, four hundred".