351381360 has 160 divisors (see below), whose sum is σ = 1196923392. Its totient is φ = 84567040.

The previous prime is 351381319. The next prime is 351381377. The reversal of 351381360 is 63183153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440482 + ... + 441278.

Almost surely, 2^351381360 is an apocalyptic number.

351381360 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 351381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598461696).

351381360 is an abundant number, since it is smaller than the sum of its proper divisors (845542032).

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

351381360 is a wasteful number, since it uses less digits than its factorization.

351381360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 351381360 is about 18745.1689776326. The cubic root of 351381360 is about 705.6557853581.

The spelling of 351381360 in words is "three hundred fifty-one million, three hundred eighty-one thousand, three hundred sixty".