351307968 has 112 divisors (see below), whose sum is σ = 1020714240. Its totient is φ = 105753600.

The previous prime is 351307961. The next prime is 351307987. The reversal of 351307968 is 869703153.

351307968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (351307961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381813 + ... + 382731.

It is an arithmetic number, because the mean of its divisors is an integer number (9113520).

Almost surely, 2^351307968 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 351307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510357120).

351307968 is an abundant number, since it is smaller than the sum of its proper divisors (669406272).

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

351307968 is a wasteful number, since it uses less digits than its factorization.

351307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 351307968 is about 18743.2112510103. The cubic root of 351307968 is about 705.6066525152.

The spelling of 351307968 in words is "three hundred fifty-one million, three hundred seven thousand, nine hundred sixty-eight".