351636516 has 144 divisors (see below), whose sum is σ = 1132185600. Its totient is φ = 89357760.

The previous prime is 351636497. The next prime is 351636521. The reversal of 351636516 is 615636153.

351636516 is a `hidden beast` number, since 3 + 5 + 1 + 636 + 5 + 16 = 666.

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

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, 128935 + ... + 131633.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^351636516 is an apocalyptic number.

351636516 is a gapful number since it is divisible by the number (36) 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 351636516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800).

351636516 is an abundant number, since it is smaller than the sum of its proper divisors (780549084).

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

351636516 is a wasteful number, since it uses less digits than its factorization.

351636516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2769 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 351636516 is about 18751.9736561248. The cubic root of 351636516 is about 705.8265482992.

The spelling of 351636516 in words is "three hundred fifty-one million, six hundred thirty-six thousand, five hundred sixteen".