3978414144 has 280 divisors, whose sum is σ = 12530620608. Its totient is φ = 1245404160.

The previous prime is 3978414133. The next prime is 3978414157. The reversal of 3978414144 is 4414148793.

3978414144 is a `hidden beast` number, since 3 + 97 + 8 + 414 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3978414144.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7272879 + ... + 7273425.

Almost surely, 2^3978414144 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 3978414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265310304).

3978414144 is an abundant number, since it is smaller than the sum of its proper divisors (8552206464).

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

3978414144 is a wasteful number, since it uses less digits than its factorization.

3978414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 636 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 3978414144 is about 63074.6711763129. The cubic root of 3978414144 is about 1584.5404491905.

The spelling of 3978414144 in words is "three billion, nine hundred seventy-eight million, four hundred fourteen thousand, one hundred forty-four".