3964074240 has 288 divisors, whose sum is σ = 14640272640. Its totient is φ = 895352832.

The previous prime is 3964074221. The next prime is 3964074269. The reversal of 3964074240 is 424704693.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391492 + ... + 2393148.

It is an arithmetic number, because the mean of its divisors is an integer number (50834280).

Almost surely, 2^3964074240 is an apocalyptic number.

3964074240 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 3964074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320136320).

3964074240 is an abundant number, since it is smaller than the sum of its proper divisors (10676198400).

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

3964074240 is a wasteful number, since it uses less digits than its factorization.

3964074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3964074240 is about 62960.8945298588. The cubic root of 3964074240 is about 1582.6343703677.

The spelling of 3964074240 in words is "three billion, nine hundred sixty-four million, seventy-four thousand, two hundred forty".