39872152320 has 1728 divisors, whose sum is σ = 184146020352. Its totient is φ = 7136870400.

The previous prime is 39872152249. The next prime is 39872152321. The reversal of 39872152320 is 2325127893.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39872152321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 972491500 + ... + 972491540.

It is an arithmetic number, because the mean of its divisors is an integer number (106565984).

Almost surely, 2^39872152320 is an apocalyptic number.

39872152320 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 39872152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92073010176).

39872152320 is an abundant number, since it is smaller than the sum of its proper divisors (144273868032).

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

39872152320 is a wasteful number, since it uses less digits than its factorization.

39872152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 39872152320 in words is "thirty-nine billion, eight hundred seventy-two million, one hundred fifty-two thousand, three hundred twenty".