352997568 has 336 divisors, whose sum is σ = 1320393600. Its totient is φ = 91445760.

The previous prime is 352997551. The next prime is 352997573. The reversal of 352997568 is 865799253.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a zygodrome in base 6.

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, 931203 + ... + 931581.

Almost surely, 2^352997568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660196800).

352997568 is an abundant number, since it is smaller than the sum of its proper divisors (967396032).

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

352997568 is a wasteful number, since it uses less digits than its factorization.

352997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 352997568 is about 18788.2295067949. The cubic root of 352997568 is about 706.7360384411.

The spelling of 352997568 in words is "three hundred fifty-two million, nine hundred ninety-seven thousand, five hundred sixty-eight".