3940400784 has 80 divisors (see below), whose sum is σ = 10358543360. Its totient is φ = 1290453120.

The previous prime is 3940400771. The next prime is 3940400809. The reversal of 3940400784 is 4870040493.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410429 + ... + 1413219.

It is an arithmetic number, because the mean of its divisors is an integer number (129481792).

Almost surely, 2^3940400784 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 3940400784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179271680).

3940400784 is an abundant number, since it is smaller than the sum of its proper divisors (6418142576).

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

3940400784 is a wasteful number, since it uses less digits than its factorization.

3940400784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3940400784 is about 62772.6117347367. The cubic root of 3940400784 is about 1579.4775797800.

The spelling of 3940400784 in words is "three billion, nine hundred forty million, four hundred thousand, seven hundred eighty-four".