38465515872 has 324 divisors, whose sum is σ = 132167975940. Its totient is φ = 10987208064.

The previous prime is 38465515867. The next prime is 38465515873. The reversal of 38465515872 is 27851556483.

38465515872 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 5 + 51 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×38465515872² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38465515873) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10285779 + ... + 10289517.

Almost surely, 2^38465515872 is an apocalyptic number.

38465515872 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 38465515872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66083987970).

38465515872 is an abundant number, since it is smaller than the sum of its proper divisors (93702460068).

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

38465515872 is an frugal number, since it uses more digits than its factorization.

38465515872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3751 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 38465515872 in words is "thirty-eight billion, four hundred sixty-five million, five hundred fifteen thousand, eight hundred seventy-two".