351686337920 has 128 divisors (see below), whose sum is σ = 864132494400. Its totient is φ = 136768020480.

The previous prime is 351686337911. The next prime is 351686337941. The reversal of 351686337920 is 29733686153.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35775566 + ... + 35785394.

Almost surely, 2^351686337920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351686337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432066247200).

351686337920 is an abundant number, since it is smaller than the sum of its proper divisors (512446156480).

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

351686337920 is a wasteful number, since it uses less digits than its factorization.

351686337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11396 (or 11384 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 53.

The spelling of 351686337920 in words is "three hundred fifty-one billion, six hundred eighty-six million, three hundred thirty-seven thousand, nine hundred twenty".