351409968 has 240 divisors, whose sum is σ = 1264606560. Its totient is φ = 92606976.

The previous prime is 351409909. The next prime is 351409973. The reversal of 351409968 is 869904153.

It is a happy number.

It is a super-2 number, since 2×351409968² = 246977931219522048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274546 + ... + 275822.

It is an arithmetic number, because the mean of its divisors is an integer number (5269194).

Almost surely, 2^351409968 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 351409968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632303280).

351409968 is an abundant number, since it is smaller than the sum of its proper divisors (913196592).

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

351409968 is a wasteful number, since it uses less digits than its factorization.

351409968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 351409968 is about 18745.9320387118. The cubic root of 351409968 is about 705.6749353522.

The spelling of 351409968 in words is "three hundred fifty-one million, four hundred nine thousand, nine hundred sixty-eight".