351166536 has 96 divisors (see below), whose sum is σ = 1134756000. Its totient is φ = 100330272.

The previous prime is 351166513. The next prime is 351166537. The reversal of 351166536 is 635661153.

351166536 is a `hidden beast` number, since 3 + 5 + 116 + 6 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 351166536.

It is not an unprimeable number, because it can be changed into a prime (351166537) 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, 6006 + ... + 27173.

It is an arithmetic number, because the mean of its divisors is an integer number (11820375).

Almost surely, 2^351166536 is an apocalyptic number.

351166536 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 351166536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567378000).

351166536 is an abundant number, since it is smaller than the sum of its proper divisors (783589464).

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

351166536 is a wasteful number, since it uses less digits than its factorization.

351166536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33208 (or 33191 counting only the distinct ones).

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

The square root of 351166536 is about 18739.4379851691. The cubic root of 351166536 is about 705.5119504643.

The spelling of 351166536 in words is "three hundred fifty-one million, one hundred sixty-six thousand, five hundred thirty-six".