352901040 has 80 divisors (see below), whose sum is σ = 1102081248. Its totient is φ = 93411328.

The previous prime is 352901033. The next prime is 352901069. The reversal of 352901040 is 40109253.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 352901040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27514 + ... + 38246.

Almost surely, 2^352901040 is an apocalyptic number.

352901040 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 352901040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551040624).

352901040 is an abundant number, since it is smaller than the sum of its proper divisors (749180208).

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

352901040 is a wasteful number, since it uses less digits than its factorization.

352901040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 352901040 is about 18785.6604887877. The cubic root of 352901040 is about 706.6716130345.

The spelling of 352901040 in words is "three hundred fifty-two million, nine hundred one thousand, forty".