352970880 has 128 divisors (see below), whose sum is σ = 1174158720. Its totient is φ = 90021888.

The previous prime is 352970879. The next prime is 352970887. The reversal of 352970880 is 88079253.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (352970887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40164 + ... + 48156.

It is an arithmetic number, because the mean of its divisors is an integer number (9173115).

Almost surely, 2^352970880 is an apocalyptic number.

352970880 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 352970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587079360).

352970880 is an abundant number, since it is smaller than the sum of its proper divisors (821187840).

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

352970880 is a wasteful number, since it uses less digits than its factorization.

352970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8038 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 352970880 is about 18787.5192614672. The cubic root of 352970880 is about 706.7182273205.

The spelling of 352970880 in words is "three hundred fifty-two million, nine hundred seventy thousand, eight hundred eighty".