3930378240 has 416 divisors, whose sum is σ = 13757734656. Its totient is φ = 954204160.

The previous prime is 3930378227. The next prime is 3930378241. The reversal of 3930378240 is 428730393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930378241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55357405 + ... + 55357475.

Almost surely, 2^3930378240 is an apocalyptic number.

3930378240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878867328).

3930378240 is an abundant number, since it is smaller than the sum of its proper divisors (9827356416).

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

3930378240 is a wasteful number, since it uses less digits than its factorization.

3930378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3930378240 is about 62692.7287649852. The cubic root of 3930378240 is about 1578.1372910535.

The spelling of 3930378240 in words is "three billion, nine hundred thirty million, three hundred seventy-eight thousand, two hundred forty".