38673836520 has 512 divisors, whose sum is σ = 143476531200. Its totient is φ = 8216985600.

The previous prime is 38673836497. The next prime is 38673836603. The reversal of 38673836520 is 2563837683.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26007217 + ... + 26008703.

It is an arithmetic number, because the mean of its divisors is an integer number (280227600).

Almost surely, 2^38673836520 is an apocalyptic number.

38673836520 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 38673836520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71738265600).

38673836520 is an abundant number, since it is smaller than the sum of its proper divisors (104802694680).

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

38673836520 is a wasteful number, since it uses less digits than its factorization.

38673836520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 38673836520 in words is "thirty-eight billion, six hundred seventy-three million, eight hundred thirty-six thousand, five hundred twenty".