39801768 has 64 divisors (see below), whose sum is σ = 104517120. Its totient is φ = 12614400.

The previous prime is 39801763. The next prime is 39801787. The reversal of 39801768 is 86710893.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (39801763) 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, 44946 + ... + 45822.

It is an arithmetic number, because the mean of its divisors is an integer number (1633080).

Almost surely, 2^39801768 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 39801768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52258560).

39801768 is an abundant number, since it is smaller than the sum of its proper divisors (64715352).

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

39801768 is a wasteful number, since it uses less digits than its factorization.

39801768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 39801768 is about 6308.8642400990. The cubic root of 39801768 is about 341.4293002391.

The spelling of 39801768 in words is "thirty-nine million, eight hundred one thousand, seven hundred sixty-eight".