351654912 has 352 divisors, whose sum is σ = 1257676800. Its totient is φ = 94887936.

The previous prime is 351654887. The next prime is 351654913. The reversal of 351654912 is 219456153.

351654912 is a `hidden beast` number, since 3 + 5 + 165 + 491 + 2 = 666.

It is a super-2 number, since 2×351654912² = 247322354267455488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351654913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4451289 + ... + 4451367.

Almost surely, 2^351654912 is an apocalyptic number.

351654912 is a gapful number since it is divisible by the number (32) 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 351654912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628838400).

351654912 is an abundant number, since it is smaller than the sum of its proper divisors (906021888).

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

351654912 is a wasteful number, since it uses less digits than its factorization.

351654912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 351654912 is about 18752.4641580780. The cubic root of 351654912 is about 705.8388566139.

The spelling of 351654912 in words is "three hundred fifty-one million, six hundred fifty-four thousand, nine hundred twelve".