351537696 has 144 divisors (see below), whose sum is σ = 1114495200. Its totient is φ = 104454144.

The previous prime is 351537643. The next prime is 351537701. The reversal of 351537696 is 696735153.

351537696 is a `hidden beast` number, since 3 + 51 + 537 + 69 + 6 = 666.

351537696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91135 + ... + 94913.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^351537696 is an apocalyptic number.

351537696 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 351537696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557247600).

351537696 is an abundant number, since it is smaller than the sum of its proper divisors (762957504).

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

351537696 is a wasteful number, since it uses less digits than its factorization.

351537696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3820 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The square root of 351537696 is about 18749.3385483328. The cubic root of 351537696 is about 705.7604229005.

It can be divided in two parts, 35153 and 7696, that added together give a square (42849 = 207²).

The spelling of 351537696 in words is "three hundred fifty-one million, five hundred thirty-seven thousand, six hundred ninety-six".