354776389339680 has 2304 divisors, whose sum is σ = 1653078067200000. Its totient is φ = 70174256947200.

The previous prime is 354776389339663. The next prime is 354776389339703. The reversal of 354776389339680 is 86933983677453.

354776389339680 is a `hidden beast` number, since 3 + 5 + 4 + 7 + 7 + 63 + 8 + 93 + 396 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 354776389339680.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4794303321 + ... + 4794377319.

It is an arithmetic number, because the mean of its divisors is an integer number (717481800000).

Almost surely, 2^{354776389339680} is an apocalyptic number.

354776389339680 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 354776389339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826539033600000).

354776389339680 is an abundant number, since it is smaller than the sum of its proper divisors (1298301677860320).

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

354776389339680 is a wasteful number, since it uses less digits than its factorization.

354776389339680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74148 (or 74127 counting only the distinct ones).

The product of its (nonzero) digits is 14814213120, while the sum is 81.

The spelling of 354776389339680 in words is "three hundred fifty-four trillion, seven hundred seventy-six billion, three hundred eighty-nine million, three hundred thirty-nine thousand, six hundred eighty".