39379633920 has 1080 divisors, whose sum is σ = 160654745328. Its totient is φ = 9196830720.

The previous prime is 39379633907. The next prime is 39379633939. The reversal of 39379633920 is 2933697393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×39379633920³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 119 ways as a sum of consecutive naturals, for example, 539447004 + ... + 539447076.

Almost surely, 2^39379633920 is an apocalyptic number.

39379633920 is a gapful number since it is divisible by the number (30) 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 39379633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80327372664).

39379633920 is an abundant number, since it is smaller than the sum of its proper divisors (121275111408).

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

39379633920 is a wasteful number, since it uses less digits than its factorization.

39379633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4960116, while the sum is 54.

It can be divided in two parts, 393796 and 33920, that added together give a square (427716 = 654²).

The spelling of 39379633920 in words is "thirty-nine billion, three hundred seventy-nine million, six hundred thirty-three thousand, nine hundred twenty".