38765543040 has 192 divisors, whose sum is σ = 152985605760. Its totient is φ = 8860686336.

The previous prime is 38765543017. The next prime is 38765543099. The reversal of 38765543040 is 4034556783.

38765543040 is a `hidden beast` number, since 3 + 8 + 7 + 65 + 543 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×38765543040⁴ (a number of 43 digits) contains 4444 as substring.

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 23 ways as a sum of consecutive naturals, for example, 440404 + ... + 521043.

It is an arithmetic number, because the mean of its divisors is an integer number (796800030).

Almost surely, 2^38765543040 is an apocalyptic number.

38765543040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38765543040 is an abundant number, since it is smaller than the sum of its proper divisors (114220062720).

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

38765543040 is a wasteful number, since it uses less digits than its factorization.

38765543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961479 (or 961464 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 38765543040 in words is "thirty-eight billion, seven hundred sixty-five million, five hundred forty-three thousand, forty".