38165264640 has 144 divisors (see below), whose sum is σ = 135433804800. Its totient is φ = 10177394688.

The previous prime is 38165264623. The next prime is 38165264681. The reversal of 38165264640 is 4646256183.

38165264640 is a `hidden beast` number, since 3 + 8 + 165 + 26 + 464 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 517600 + ... + 586719.

Almost surely, 2^38165264640 is an apocalyptic number.

38165264640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38165264640 is an abundant number, since it is smaller than the sum of its proper divisors (97268540160).

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

38165264640 is a wasteful number, since it uses less digits than its factorization.

38165264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104349 (or 1104329 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38165264640 in words is "thirty-eight billion, one hundred sixty-five million, two hundred sixty-four thousand, six hundred forty".