39696048000 has 512 divisors, whose sum is σ = 167114188800. Its totient is φ = 9072691200.

The previous prime is 39696047983. The next prime is 39696048023. The reversal of 39696048000 is 84069693.

39696048000 is a `hidden beast` number, since 39 + 6 + 9 + 604 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3017437 + ... + 3030563.

It is an arithmetic number, because the mean of its divisors is an integer number (326394900).

Almost surely, 2^39696048000 is an apocalyptic number.

39696048000 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 39696048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83557094400).

39696048000 is an abundant number, since it is smaller than the sum of its proper divisors (127418140800).

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

39696048000 is a wasteful number, since it uses less digits than its factorization.

39696048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13172 (or 13144 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 39696048000 in words is "thirty-nine billion, six hundred ninety-six million, forty-eight thousand".