351577968 has 80 divisors (see below), whose sum is σ = 1040219136. Its totient is φ = 100235520.

The previous prime is 351577951. The next prime is 351577973. The reversal of 351577968 is 869775153.

It is a self number, because there is not a number n which added to its sum of digits gives 351577968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221305 + ... + 222887.

Almost surely, 2^351577968 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 351577968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520109568).

351577968 is an abundant number, since it is smaller than the sum of its proper divisors (688641168).

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

351577968 is a wasteful number, since it uses less digits than its factorization.

351577968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2256 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 51.

The square root of 351577968 is about 18750.4124754630. The cubic root of 351577968 is about 705.7873724034.

The spelling of 351577968 in words is "three hundred fifty-one million, five hundred seventy-seven thousand, nine hundred sixty-eight".