352838909952 has 512 divisors, whose sum is σ = 1093941676800. Its totient is φ = 112302489600.

The previous prime is 352838909921. The next prime is 352838909971. The reversal of 352838909952 is 259909838253.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×352838909952² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 352838909952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2575466428 + ... + 2575466564.

Almost surely, 2^352838909952 is an apocalyptic number.

352838909952 is a gapful number since it is divisible by the number (32) 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 352838909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546970838400).

352838909952 is an abundant number, since it is smaller than the sum of its proper divisors (741102766848).

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

352838909952 is an equidigital number, since it uses as much as digits as its factorization.

352838909952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 352838909952 in words is "three hundred fifty-two billion, eight hundred thirty-eight million, nine hundred nine thousand, nine hundred fifty-two".