3642695737920 has 336 divisors, whose sum is σ = 13344589422528. Its totient is φ = 945131120640.

The previous prime is 3642695737913. The next prime is 3642695738021. The reversal of 3642695737920 is 297375962463.

3642695737920 is a `hidden beast` number, since 3 + 6 + 426 + 95 + 7 + 37 + 92 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2244075 + ... + 3510165.

It is an arithmetic number, because the mean of its divisors is an integer number (39716039948).

Almost surely, 2^{3642695737920} is an apocalyptic number.

3642695737920 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 3642695737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672294711264).

3642695737920 is an abundant number, since it is smaller than the sum of its proper divisors (9701893684608).

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

3642695737920 is a wasteful number, since it uses less digits than its factorization.

3642695737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266160 (or 1266138 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 3642695737920 in words is "three trillion, six hundred forty-two billion, six hundred ninety-five million, seven hundred thirty-seven thousand, nine hundred twenty".