38675772674640 has 240 divisors, whose sum is σ = 137755221851520. Its totient is φ = 9703401016320.

The previous prime is 38675772674629. The next prime is 38675772674641. The reversal of 38675772674640 is 4647627757683.

38675772674640 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 577 + 2 + 6 + 7 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38675772674641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18133230 + ... + 20153549.

It is an arithmetic number, because the mean of its divisors is an integer number (573980091048).

Almost surely, 2^{38675772674640} is an apocalyptic number.

38675772674640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38675772674640 is an abundant number, since it is smaller than the sum of its proper divisors (99079449176880).

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

38675772674640 is a wasteful number, since it uses less digits than its factorization.

38675772674640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38286882 (or 38286873 counting only the distinct ones).

The product of its (nonzero) digits is 1991485440, while the sum is 72.

The spelling of 38675772674640 in words is "thirty-eight trillion, six hundred seventy-five billion, seven hundred seventy-two million, six hundred seventy-four thousand, six hundred forty".