38842013952 has 216 divisors, whose sum is σ = 132120235520. Its totient is φ = 10739589120.

The previous prime is 38842013941. The next prime is 38842013953. The reversal of 38842013952 is 25931024883.

It is a junction number, because it is equal to n+sod(n) for n = 38842013898 and 38842013907.

It is not an unprimeable number, because it can be changed into a prime (38842013953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461124 + ... + 538812.

Almost surely, 2^38842013952 is an apocalyptic number.

38842013952 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 38842013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66060117760).

38842013952 is an abundant number, since it is smaller than the sum of its proper divisors (93278221568).

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

38842013952 is a wasteful number, since it uses less digits than its factorization.

38842013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77749 (or 77732 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38842013952 in words is "thirty-eight billion, eight hundred forty-two million, thirteen thousand, nine hundred fifty-two".