3935978240 has 144 divisors (see below), whose sum is σ = 9794324736. Its totient is φ = 1513881600.

The previous prime is 3935978203. The next prime is 3935978251. The reversal of 3935978240 is 428795393.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11149904 + ... + 11150256.

It is an arithmetic number, because the mean of its divisors is an integer number (68016144).

Almost surely, 2^3935978240 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 3935978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897162368).

3935978240 is an abundant number, since it is smaller than the sum of its proper divisors (5858346496).

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

3935978240 is a wasteful number, since it uses less digits than its factorization.

3935978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The square root of 3935978240 is about 62737.3751443268. The cubic root of 3935978240 is about 1578.8864449819.

The spelling of 3935978240 in words is "three billion, nine hundred thirty-five million, nine hundred seventy-eight thousand, two hundred forty".