39390545376 has 384 divisors, whose sum is σ = 143359856640. Its totient is φ = 10244911104.

The previous prime is 39390545357. The next prime is 39390545393. The reversal of 39390545376 is 67354509393.

39390545376 is a `hidden beast` number, since 3 + 9 + 3 + 90 + 545 + 3 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5736121 + ... + 5742983.

It is an arithmetic number, because the mean of its divisors is an integer number (373332960).

Almost surely, 2^39390545376 is an apocalyptic number.

39390545376 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 39390545376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71679928320).

39390545376 is an abundant number, since it is smaller than the sum of its proper divisors (103969311264).

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

39390545376 is a wasteful number, since it uses less digits than its factorization.

39390545376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6975 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 54.

The spelling of 39390545376 in words is "thirty-nine billion, three hundred ninety million, five hundred forty-five thousand, three hundred seventy-six".