38661111720 has 864 divisors, whose sum is σ = 163913349600. Its totient is φ = 7871592960.

The previous prime is 38661111701. The next prime is 38661111733. The reversal of 38661111720 is 2711116683.

38661111720 is a `hidden beast` number, since 3 + 8 + 6 + 611 + 1 + 17 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 125931807 + ... + 125932113.

It is an arithmetic number, because the mean of its divisors is an integer number (189714525).

Almost surely, 2^38661111720 is an apocalyptic number.

38661111720 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 38661111720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81956674800).

38661111720 is an abundant number, since it is smaller than the sum of its proper divisors (125252237880).

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

38661111720 is a wasteful number, since it uses less digits than its factorization.

38661111720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 38661111720 in words is "thirty-eight billion, six hundred sixty-one million, one hundred eleven thousand, seven hundred twenty".