352926720 has 440 divisors, whose sum is σ = 1355343264. Its totient is φ = 87588864.

The previous prime is 352926709. The next prime is 352926751. The reversal of 352926720 is 27629253.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9538542 + ... + 9538578.

Almost surely, 2^352926720 is an apocalyptic number.

352926720 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 352926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677671632).

352926720 is an abundant number, since it is smaller than the sum of its proper divisors (1002416544).

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

352926720 is a wasteful number, since it uses less digits than its factorization.

352926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 352926720 is about 18786.3439764101. The cubic root of 352926720 is about 706.6887537102.

The spelling of 352926720 in words is "three hundred fifty-two million, nine hundred twenty-six thousand, seven hundred twenty".