38345557152 has 48 divisors (see below), whose sum is σ = 115036673472. Its totient is φ = 10955873280.

The previous prime is 38345557147. The next prime is 38345557157. The reversal of 38345557152 is 25175554383.

It is an interprime number because it is at equal distance from previous prime (38345557147) and next prime (38345557157).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×38345557152² (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 not an unprimeable number, because it can be changed into a prime (38345557157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28530249 + ... + 28531592.

It is an arithmetic number, because the mean of its divisors is an integer number (2396597364).

Almost surely, 2^38345557152 is an apocalyptic number.

38345557152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38345557152 is an abundant number, since it is smaller than the sum of its proper divisors (76691116320).

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

38345557152 is a wasteful number, since it uses less digits than its factorization.

38345557152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57061861 (or 57061853 counting only the distinct ones).

The product of its digits is 2520000, while the sum is 48.

The spelling of 38345557152 in words is "thirty-eight billion, three hundred forty-five million, five hundred fifty-seven thousand, one hundred fifty-two".