39934085294796 has 384 divisors, whose sum is σ = 122935731609600. Its totient is φ = 9774461859840.

The previous prime is 39934085294729. The next prime is 39934085294821. The reversal of 39934085294796 is 69749258043993.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4536413331 + ... + 4536422133.

It is an arithmetic number, because the mean of its divisors is an integer number (320145134400).

Almost surely, 2^{39934085294796} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39934085294796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61467865804800).

39934085294796 is an abundant number, since it is smaller than the sum of its proper divisors (83001646314804).

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

39934085294796 is a wasteful number, since it uses less digits than its factorization.

39934085294796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10189 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 78.

The spelling of 39934085294796 in words is "thirty-nine trillion, nine hundred thirty-four billion, eighty-five million, two hundred ninety-four thousand, seven hundred ninety-six".