352964420864 has 432 divisors, whose sum is σ = 864756224640. Its totient is φ = 142283243520.

The previous prime is 352964420857. The next prime is 352964420873. The reversal of 352964420864 is 468024469253.

It is a super-4 number, since 4×352964420864⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2040256682 + ... + 2040256854.

It is an arithmetic number, because the mean of its divisors is an integer number (2001750520).

Almost surely, 2^352964420864 is an apocalyptic number.

352964420864 is a gapful number since it is divisible by the number (34) 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 352964420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432378112320).

352964420864 is an abundant number, since it is smaller than the sum of its proper divisors (511791803776).

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

352964420864 is a wasteful number, since it uses less digits than its factorization.

352964420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 53.

The spelling of 352964420864 in words is "three hundred fifty-two billion, nine hundred sixty-four million, four hundred twenty thousand, eight hundred sixty-four".