351364640 has 72 divisors (see below), whose sum is σ = 912473100. Its totient is φ = 127761920.

The previous prime is 351364631. The next prime is 351364679. The reversal of 351364640 is 46463153.

It can be written as a sum of positive squares in 2 ways, for example, as 339886096 + 11478544 = 18436^2 + 3388^2 .

It is a super-2 number, since 2×351364640² = 246914220484659200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 351364597 and 351364606.

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, 10286 + ... + 28434.

Almost surely, 2^351364640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456236550).

351364640 is an abundant number, since it is smaller than the sum of its proper divisors (561108460).

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

351364640 is a wasteful number, since it uses less digits than its factorization.

351364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18186 (or 18167 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 351364640 is about 18744.7229907513. The cubic root of 351364640 is about 705.6445926264.

The spelling of 351364640 in words is "three hundred fifty-one million, three hundred sixty-four thousand, six hundred forty".