39380021136 has 135 divisors (see below), whose sum is σ = 115369869979. Its totient is φ = 12538485696.

The previous prime is 39380021089. The next prime is 39380021173. The reversal of 39380021136 is 63112008393.

The square root of 39380021136 is 198444.

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

39380021136 is a `hidden beast` number, since 39 + 380 + 0 + 211 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39380021136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54770185 + ... + 54770903.

Almost surely, 2^39380021136 is an apocalyptic number.

39380021136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39380021136 is the 198444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39380021136

39380021136 is an abundant number, since it is smaller than the sum of its proper divisors (75989848843).

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

39380021136 is an equidigital number, since it uses as much as digits as its factorization.

39380021136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 39380021136 by its sum of digits (36), we get a square (1417680760896 = 1190664²).

39380021136 divided by its sum of digits (36) gives a square (1093889476 = 33074²).

The spelling of 39380021136 in words is "thirty-nine billion, three hundred eighty million, twenty-one thousand, one hundred thirty-six".