3974188416 has 128 divisors (see below), whose sum is σ = 11540067840. Its totient is φ = 1201797120.

The previous prime is 3974188403. The next prime is 3974188429. The reversal of 3974188416 is 6148814793.

It is an interprime number because it is at equal distance from previous prime (3974188403) and next prime (3974188429).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3602521 + ... + 3603623.

It is an arithmetic number, because the mean of its divisors is an integer number (90156780).

Almost surely, 2^3974188416 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 3974188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770033920).

3974188416 is an abundant number, since it is smaller than the sum of its proper divisors (7565879424).

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

3974188416 is a wasteful number, since it uses less digits than its factorization.

3974188416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1972 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 3974188416 is about 63041.1644562503. The cubic root of 3974188416 is about 1583.9792365404.

The spelling of 3974188416 in words is "three billion, nine hundred seventy-four million, one hundred eighty-eight thousand, four hundred sixteen".