38765917440 has 144 divisors (see below), whose sum is σ = 137565288000. Its totient is φ = 10337568768.

The previous prime is 38765917429. The next prime is 38765917441. The reversal of 38765917440 is 4471956783.

38765917440 is a `hidden beast` number, since 3 + 8 + 7 + 6 + 591 + 7 + 4 + 40 = 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38765917441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526290 + ... + 595409.

It is an arithmetic number, because the mean of its divisors is an integer number (955314500).

Almost surely, 2^38765917440 is an apocalyptic number.

38765917440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38765917440 is an abundant number, since it is smaller than the sum of its proper divisors (98799370560).

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

38765917440 is a wasteful number, since it uses less digits than its factorization.

38765917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121729 (or 1121709 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 38765917440 in words is "thirty-eight billion, seven hundred sixty-five million, nine hundred seventeen thousand, four hundred forty".