354996276004800 has 672 divisors, whose sum is σ = 1304033499014400. Its totient is φ = 93939160043520.

The previous prime is 354996276004763. The next prime is 354996276004817. The reversal of 354996276004800 is 8400672699453.

354996276004800 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 96 + 2 + 7 + 60 + 0 + 480 + 0 = 666.

It is a super-2 number, since 2×354996276004800² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13468753222 + ... + 13468779578.

It is an arithmetic number, because the mean of its divisors is an integer number (1940526040200).

Almost surely, 2^{354996276004800} is an apocalyptic number.

354996276004800 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 354996276004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652016749507200).

354996276004800 is an abundant number, since it is smaller than the sum of its proper divisors (949037223009600).

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

354996276004800 is a wasteful number, since it uses less digits than its factorization.

354996276004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28770 (or 28749 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 354996276004800 in words is "three hundred fifty-four trillion, nine hundred ninety-six billion, two hundred seventy-six million, four thousand, eight hundred".