38121000516 has 45 divisors (see below), whose sum is σ = 99665013679. Its totient is φ = 12705828696.

The previous prime is 38121000487. The next prime is 38121000523. The reversal of 38121000516 is 61500012183.

The square root of 38121000516 is 195246.

It is a perfect power (a square), and thus also a powerful number.

38121000516 is a `hidden beast` number, since 38 + 12 + 100 + 0 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38121000516.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3509005 + ... + 3519851.

Almost surely, 2^38121000516 is an apocalyptic number.

38121000516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38121000516 is the 195246-th square number.

It is an amenable number.

38121000516 is an abundant number, since it is smaller than the sum of its proper divisors (61544013163).

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

38121000516 is an frugal number, since it uses more digits than its factorization.

38121000516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21710 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 38121000516 its reverse (61500012183), we get a palindrome (99621012699).

The spelling of 38121000516 in words is "thirty-eight billion, one hundred twenty-one million, five hundred sixteen", and thus it is an aban number.