38807620992 has 896 divisors, whose sum is σ = 144485856000. Its totient is φ = 10131443712.

The previous prime is 38807620979. The next prime is 38807621081. The reversal of 38807620992 is 29902670883.

It is a happy number.

38807620992 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 7 + 620 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 111 ways as a sum of consecutive naturals, for example, 657756259 + ... + 657756317.

Almost surely, 2^38807620992 is an apocalyptic number.

38807620992 is a gapful number since it is divisible by the number (32) 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 38807620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72242928000).

38807620992 is an abundant number, since it is smaller than the sum of its proper divisors (105678235008).

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

38807620992 is an equidigital number, since it uses as much as digits as its factorization.

38807620992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 38807620992 in words is "thirty-eight billion, eight hundred seven million, six hundred twenty thousand, nine hundred ninety-two".