39290496 has 128 divisors (see below), whose sum is σ = 122204160. Its totient is φ = 10951680.

The previous prime is 39290491. The next prime is 39290497. The reversal of 39290496 is 69409293.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39290491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126181 + ... + 126491.

It is an arithmetic number, because the mean of its divisors is an integer number (954720).

Almost surely, 2^39290496 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 39290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61102080).

39290496 is an abundant number, since it is smaller than the sum of its proper divisors (82913664).

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

39290496 is a wasteful number, since it uses less digits than its factorization.

39290496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 39290496 is about 6268.2131425152. The cubic root of 39290496 is about 339.9610566700.

The spelling of 39290496 in words is "thirty-nine million, two hundred ninety thousand, four hundred ninety-six".