3874474240 has 576 divisors, whose sum is σ = 12526940160. Its totient is φ = 1114767360.

The previous prime is 3874474237. The next prime is 3874474259. The reversal of 3874474240 is 424744783.

It is a happy number.

3874474240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104715502 + ... + 104715538.

It is an arithmetic number, because the mean of its divisors is an integer number (21748160).

Almost surely, 2^3874474240 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 3874474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263470080).

3874474240 is an abundant number, since it is smaller than the sum of its proper divisors (8652465920).

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

3874474240 is a wasteful number, since it uses less digits than its factorization.

3874474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 43.

The square root of 3874474240 is about 62245.2748407459. The cubic root of 3874474240 is about 1570.6192858949.

The spelling of 3874474240 in words is "three billion, eight hundred seventy-four million, four hundred seventy-four thousand, two hundred forty".