38680965504 has 384 divisors, whose sum is σ = 123181793280. Its totient is φ = 12040151040.

The previous prime is 38680965469. The next prime is 38680965539. The reversal of 38680965504 is 40556908683.

It is a happy number.

38680965504 is a `hidden beast` number, since 3 + 8 + 6 + 80 + 9 + 6 + 550 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (38680965469) and next prime (38680965539).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 100994497 + ... + 100994879.

It is an arithmetic number, because the mean of its divisors is an integer number (320785920).

Almost surely, 2^38680965504 is an apocalyptic number.

38680965504 is a gapful number since it is divisible by the number (34) 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 38680965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61590896640).

38680965504 is an abundant number, since it is smaller than the sum of its proper divisors (84500827776).

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

38680965504 is a wasteful number, since it uses less digits than its factorization.

38680965504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 38680965504 in words is "thirty-eight billion, six hundred eighty million, nine hundred sixty-five thousand, five hundred four".