38700211777920 has 2560 divisors, whose sum is σ = 188339378135040. Its totient is φ = 7324021555200.

The previous prime is 38700211777907. The next prime is 38700211777979. The reversal of 38700211777920 is 2977711200783.

38700211777920 is a `hidden beast` number, since 387 + 0 + 0 + 2 + 1 + 177 + 7 + 92 + 0 = 666.

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2103606162 + ... + 2103624558.

It is an arithmetic number, because the mean of its divisors is an integer number (73570069584).

Almost surely, 2^{38700211777920} is an apocalyptic number.

38700211777920 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 38700211777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94169689067520).

38700211777920 is an abundant number, since it is smaller than the sum of its proper divisors (149639166357120).

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

38700211777920 is a wasteful number, since it uses less digits than its factorization.

38700211777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18494 (or 18473 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 54.

The spelling of 38700211777920 in words is "thirty-eight trillion, seven hundred billion, two hundred eleven million, seven hundred seventy-seven thousand, nine hundred twenty".