38029135872 has 416 divisors, whose sum is σ = 126820270080. Its totient is φ = 9867755520.

The previous prime is 38029135861. The next prime is 38029135883. The reversal of 38029135872 is 27853192083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38029135861) and next prime (38029135883).

It is a tau number, because it is divible by the number of its divisors (416).

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

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 31 ways as a sum of consecutive naturals, for example, 79392529 + ... + 79393007.

Almost surely, 2^38029135872 is an apocalyptic number.

38029135872 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 38029135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63410135040).

38029135872 is an abundant number, since it is smaller than the sum of its proper divisors (88791134208).

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

38029135872 is a wasteful number, since it uses less digits than its factorization.

38029135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 38029135872 in words is "thirty-eight billion, twenty-nine million, one hundred thirty-five thousand, eight hundred seventy-two".