351645360 has 120 divisors (see below), whose sum is σ = 1198308720. Its totient is φ = 85240320.

The previous prime is 351645311. The next prime is 351645361. The reversal of 351645360 is 63546153.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (351645361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22986 + ... + 35094.

It is an arithmetic number, because the mean of its divisors is an integer number (9985906).

Almost surely, 2^351645360 is an apocalyptic number.

351645360 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 351645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599154360).

351645360 is an abundant number, since it is smaller than the sum of its proper divisors (846663360).

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

351645360 is a wasteful number, since it uses less digits than its factorization.

351645360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12147 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 351645360 is about 18752.2094698198. The cubic root of 351645360 is about 705.8324656574.

The spelling of 351645360 in words is "three hundred fifty-one million, six hundred forty-five thousand, three hundred sixty".