38279195136 has 1120 divisors, whose sum is σ = 150277881600. Its totient is φ = 9656672256.

The previous prime is 38279195131. The next prime is 38279195153. The reversal of 38279195136 is 63159197283.

38279195136 is a `hidden beast` number, since 38 + 2 + 7 + 91 + 9 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2449440) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (38279195131) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1664312821 + ... + 1664312843.

It is an arithmetic number, because the mean of its divisors is an integer number (134176680).

Almost surely, 2^38279195136 is an apocalyptic number.

38279195136 is a gapful number since it is divisible by the number (36) 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 38279195136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75138940800).

38279195136 is an abundant number, since it is smaller than the sum of its proper divisors (111998686464).

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

38279195136 is an frugal number, since it uses more digits than its factorization.

38279195136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 38279195136 in words is "thirty-eight billion, two hundred seventy-nine million, one hundred ninety-five thousand, one hundred thirty-six".