351336960 has 640 divisors, whose sum is σ = 1484904960. Its totient is φ = 77856768.

The previous prime is 351336907. The next prime is 351336967. The reversal of 351336960 is 69633153.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (351336967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15275509 + ... + 15275531.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^351336960 is an apocalyptic number.

351336960 is a gapful number since it is divisible by the number (30) 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 351336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480).

351336960 is an abundant number, since it is smaller than the sum of its proper divisors (1133568000).

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

351336960 is a wasteful number, since it uses less digits than its factorization.

351336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 351336960 is about 18743.9846350769. The cubic root of 351336960 is about 705.6260622517.

The spelling of 351336960 in words is "three hundred fifty-one million, three hundred thirty-six thousand, nine hundred sixty".