38366576640 has 960 divisors, whose sum is σ = 162718162200. Its totient is φ = 8620867584.

The previous prime is 38366576617. The next prime is 38366576657. The reversal of 38366576640 is 4667566383.

38366576640 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 6 + 576 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 650280931 + ... + 650280989.

Almost surely, 2^38366576640 is an apocalyptic number.

38366576640 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 38366576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81359081100).

38366576640 is an abundant number, since it is smaller than the sum of its proper divisors (124351585560).

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

38366576640 is an frugal number, since it uses more digits than its factorization.

38366576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 38366576640 in words is "thirty-eight billion, three hundred sixty-six million, five hundred seventy-six thousand, six hundred forty".