39894708672 has 504 divisors, whose sum is σ = 144123741216. Its totient is φ = 10488489984.

The previous prime is 39894708649. The next prime is 39894708701. The reversal of 39894708672 is 27680749893.

39894708672 is a `hidden beast` number, since 3 + 9 + 89 + 470 + 86 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125850658 + ... + 125850974.

It is an arithmetic number, because the mean of its divisors is an integer number (285959804).

Almost surely, 2^39894708672 is an apocalyptic number.

39894708672 is a gapful number since it is divisible by the number (32) 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 39894708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72061870608).

39894708672 is an abundant number, since it is smaller than the sum of its proper divisors (104229032544).

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

39894708672 is an equidigital number, since it uses as much as digits as its factorization.

39894708672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 39894708672 in words is "thirty-nine billion, eight hundred ninety-four million, seven hundred eight thousand, six hundred seventy-two".