3704587968 has 112 divisors (see below), whose sum is σ = 9959075840. Its totient is φ = 1215212544.

The previous prime is 3704587967. The next prime is 3704587969. The reversal of 3704587968 is 8697854073.

3704587968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3704587967) and next prime (3704587969).

It is not an unprimeable number, because it can be changed into a prime (3704587961) 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, 3388830 + ... + 3389922.

It is an arithmetic number, because the mean of its divisors is an integer number (88920320).

Almost surely, 2^3704587968 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 3704587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979537920).

3704587968 is an abundant number, since it is smaller than the sum of its proper divisors (6254487872).

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

3704587968 is a wasteful number, since it uses less digits than its factorization.

3704587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The square root of 3704587968 is about 60865.3264839679. The cubic root of 3704587968 is about 1547.3193998114.

The spelling of 3704587968 in words is "three billion, seven hundred four million, five hundred eighty-seven thousand, nine hundred sixty-eight".