352868880 has 320 divisors, whose sum is σ = 1367912448. Its totient is φ = 73267200.

The previous prime is 352868863. The next prime is 352868917. The reversal of 352868880 is 88868253.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2336805 + ... + 2336955.

Almost surely, 2^352868880 is an apocalyptic number.

352868880 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 352868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683956224).

352868880 is an abundant number, since it is smaller than the sum of its proper divisors (1015043568).

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

352868880 is a wasteful number, since it uses less digits than its factorization.

352868880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 352868880 is about 18784.8044972526. The cubic root of 352868880 is about 706.6501459687.

The spelling of 352868880 in words is "three hundred fifty-two million, eight hundred sixty-eight thousand, eight hundred eighty".