39794664 has 192 divisors, whose sum is σ = 132148800. Its totient is φ = 9870336.

The previous prime is 39794663. The next prime is 39794681. The reversal of 39794664 is 46649793.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

Its product of digits (979776) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (39794663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290404 + ... + 290540.

It is an arithmetic number, because the mean of its divisors is an integer number (688275).

Almost surely, 2^39794664 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 39794664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66074400).

39794664 is an abundant number, since it is smaller than the sum of its proper divisors (92354136).

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

39794664 is a wasteful number, since it uses less digits than its factorization.

39794664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 39794664 is about 6308.3011976284. The cubic root of 39794664 is about 341.4089857473.

The spelling of 39794664 in words is "thirty-nine million, seven hundred ninety-four thousand, six hundred sixty-four".