38836680960 has 1152 divisors, whose sum is σ = 168784035840. Its totient is φ = 7365427200.

The previous prime is 38836680937. The next prime is 38836680983. The reversal of 38836680960 is 6908663883.

It is an interprime number because it is at equal distance from previous prime (38836680937) and next prime (38836680983).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 38836680960.

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 127 ways as a sum of consecutive naturals, for example, 174155409 + ... + 174155631.

It is an arithmetic number, because the mean of its divisors is an integer number (146513920).

Almost surely, 2^38836680960 is an apocalyptic number.

38836680960 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 38836680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84392017920).

38836680960 is an abundant number, since it is smaller than the sum of its proper divisors (129947354880).

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

38836680960 is a wasteful number, since it uses less digits than its factorization.

38836680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 38836680960 in words is "thirty-eight billion, eight hundred thirty-six million, six hundred eighty thousand, nine hundred sixty".