352838255040 has 168 divisors, whose sum is σ = 1258565621040. Its totient is φ = 94090180608.

The previous prime is 352838255023. The next prime is 352838255053. The reversal of 352838255040 is 40552838253.

352838255040 is a `hidden beast` number, since 3 + 5 + 28 + 38 + 2 + 550 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2191005 + ... + 2346524.

It is an arithmetic number, because the mean of its divisors is an integer number (7491462030).

Almost surely, 2^352838255040 is an apocalyptic number.

352838255040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352838255040 is an abundant number, since it is smaller than the sum of its proper divisors (905727366000).

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

352838255040 is an equidigital number, since it uses as much as digits as its factorization.

352838255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537561 (or 4537539 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 352838255040 in words is "three hundred fifty-two billion, eight hundred thirty-eight million, two hundred fifty-five thousand, forty".