39794688 has 144 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 12386304.

The previous prime is 39794687. The next prime is 39794693. The reversal of 39794688 is 88649793.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39794681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313281 + ... + 313407.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 2^39794688 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 39794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

39794688 is an abundant number, since it is smaller than the sum of its proper divisors (82858752).

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

39794688 is a wasteful number, since it uses less digits than its factorization.

39794688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 39794688 is about 6308.3030998835. The cubic root of 39794688 is about 341.4090543814.

The spelling of 39794688 in words is "thirty-nine million, seven hundred ninety-four thousand, six hundred eighty-eight".