352348331040 has 72 divisors (see below), whose sum is σ = 1202388684588. Its totient is φ = 93959554560.

The previous prime is 352348331039. The next prime is 352348331051. The reversal of 352348331040 is 40133843253.

352348331040 is a `hidden beast` number, since 3 + 523 + 4 + 83 + 3 + 10 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 350686627344 + 1661703696 = 592188^2 + 40764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352348330986 and 352348331004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122341731 + ... + 122344610.

Almost surely, 2^352348331040 is an apocalyptic number.

352348331040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352348331040 is an abundant number, since it is smaller than the sum of its proper divisors (850040353548).

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

352348331040 is a wasteful number, since it uses less digits than its factorization.

352348331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244686362 (or 244686351 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 352348331040 in words is "three hundred fifty-two billion, three hundred forty-eight million, three hundred thirty-one thousand, forty".