351078912 has 120 divisors (see below), whose sum is σ = 1030672500. Its totient is φ = 115015680.

The previous prime is 351078869. The next prime is 351078953. The reversal of 351078912 is 219870153.

It can be written as a sum of positive squares in 2 ways, for example, as 310323456 + 40755456 = 17616^2 + 6384^2 .

It is a super-2 number, since 2×351078912² = 246512804902207488, which contains 22 as substring.

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

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, 280464 + ... + 281712.

Almost surely, 2^351078912 is an apocalyptic number.

351078912 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 351078912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515336250).

351078912 is an abundant number, since it is smaller than the sum of its proper divisors (679593588).

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

351078912 is a wasteful number, since it uses less digits than its factorization.

351078912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 351078912 is about 18737.0998823190. The cubic root of 351078912 is about 705.4532651822.

The spelling of 351078912 in words is "three hundred fifty-one million, seventy-eight thousand, nine hundred twelve".