39098007872 has 672 divisors, whose sum is σ = 114457276800. Its totient is φ = 13113999360.

The previous prime is 39098007757. The next prime is 39098007887. The reversal of 39098007872 is 27870089093.

It is a super-3 number, since 3×39098007872³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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, 1348207154 + ... + 1348207182.

Almost surely, 2^39098007872 is an apocalyptic number.

39098007872 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 39098007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57228638400).

39098007872 is an abundant number, since it is smaller than the sum of its proper divisors (75359268928).

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

39098007872 is a wasteful number, since it uses less digits than its factorization.

39098007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 53.

The spelling of 39098007872 in words is "thirty-nine billion, ninety-eight million, seven thousand, eight hundred seventy-two".