352878664320 has 2560 divisors, whose sum is σ = 1698575155200. Its totient is φ = 67722117120.

The previous prime is 352878664309. The next prime is 352878664337. The reversal of 352878664320 is 23466878253.

352878664320 is a `hidden beast` number, since 3 + 52 + 87 + 86 + 6 + 432 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2778572097 + ... + 2778572223.

It is an arithmetic number, because the mean of its divisors is an integer number (663505920).

Almost surely, 2^352878664320 is an apocalyptic number.

352878664320 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 352878664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849287577600).

352878664320 is an abundant number, since it is smaller than the sum of its proper divisors (1345696490880).

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

352878664320 is a wasteful number, since it uses less digits than its factorization.

352878664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 352878664320 in words is "three hundred fifty-two billion, eight hundred seventy-eight million, six hundred sixty-four thousand, three hundred twenty".