39388901678112 has 576 divisors, whose sum is σ = 127501795491840. Its totient is φ = 10601408563200.

The previous prime is 39388901678083. The next prime is 39388901678123. The reversal of 39388901678112 is 21187610988393.

It is a happy number.

It is a super-3 number, since 3×39388901678112³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 817902738 + ... + 817950894.

It is an arithmetic number, because the mean of its divisors is an integer number (221357283840).

Almost surely, 2^{39388901678112} is an apocalyptic number.

39388901678112 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 39388901678112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63750897745920).

39388901678112 is an abundant number, since it is smaller than the sum of its proper divisors (88112893813728).

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

39388901678112 is a wasteful number, since it uses less digits than its factorization.

39388901678112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48365 (or 48350 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 66.

The spelling of 39388901678112 in words is "thirty-nine trillion, three hundred eighty-eight billion, nine hundred one million, six hundred seventy-eight thousand, one hundred twelve".