38505169920 has 704 divisors, whose sum is σ = 148987537920. Its totient is φ = 8301576192.

The previous prime is 38505169919. The next prime is 38505169957. The reversal of 38505169920 is 2996150583.

It is a happy number.

It is a super-2 number, since 2×38505169920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38505169920.

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 63 ways as a sum of consecutive naturals, for example, 165258124 + ... + 165258356.

Almost surely, 2^38505169920 is an apocalyptic number.

38505169920 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 38505169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74493768960).

38505169920 is an abundant number, since it is smaller than the sum of its proper divisors (110482368000).

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

38505169920 is a wasteful number, since it uses less digits than its factorization.

38505169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 38505169920 in words is "thirty-eight billion, five hundred five million, one hundred sixty-nine thousand, nine hundred twenty".