3978481344 has 56 divisors (see below), whose sum is σ = 10549176768. Its totient is φ = 1323290880.

The previous prime is 3978481301. The next prime is 3978481357. The reversal of 3978481344 is 4431848793.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67479 + ... + 111849.

Almost surely, 2^3978481344 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 3978481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274588384).

3978481344 is an abundant number, since it is smaller than the sum of its proper divisors (6570695424).

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

3978481344 is a wasteful number, since it uses less digits than its factorization.

3978481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44853 (or 44843 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 3978481344 is about 63075.2038760082. The cubic root of 3978481344 is about 1584.5493707118.

The spelling of 3978481344 in words is "three billion, nine hundred seventy-eight million, four hundred eighty-one thousand, three hundred forty-four".