39191340672 has 160 divisors (see below), whose sum is σ = 127236146400. Its totient is φ = 11876129280.

The previous prime is 39191340667. The next prime is 39191340697. The reversal of 39191340672 is 27604319193.

39191340672 is a `hidden beast` number, since 3 + 91 + 91 + 3 + 406 + 72 = 666.

39191340672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×39191340672³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57772 + ... + 285867.

It is an arithmetic number, because the mean of its divisors is an integer number (795225915).

Almost surely, 2^39191340672 is an apocalyptic number.

39191340672 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 39191340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63618073200).

39191340672 is an abundant number, since it is smaller than the sum of its proper divisors (88044805728).

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

39191340672 is a wasteful number, since it uses less digits than its factorization.

39191340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343676 (or 343655 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 39191340672 in words is "thirty-nine billion, one hundred ninety-one million, three hundred forty thousand, six hundred seventy-two".