38156469120 has 1280 divisors, whose sum is σ = 173459404800. Its totient is φ = 7828254720.

The previous prime is 38156469119. The next prime is 38156469139. The reversal of 38156469120 is 2196465183.

38156469120 is a `hidden beast` number, since 3 + 8 + 1 + 564 + 69 + 1 + 20 = 666.

It is a super-2 number, since 2×38156469120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 482993241 + ... + 482993319.

It is an arithmetic number, because the mean of its divisors is an integer number (135515160).

Almost surely, 2^38156469120 is an apocalyptic number.

38156469120 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 38156469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86729702400).

38156469120 is an abundant number, since it is smaller than the sum of its proper divisors (135302935680).

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

38156469120 is an equidigital number, since it uses as much as digits as its factorization.

38156469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 38156469120 in words is "thirty-eight billion, one hundred fifty-six million, four hundred sixty-nine thousand, one hundred twenty".