3872346408 has 96 divisors (see below), whose sum is σ = 12130372800. Its totient is φ = 1093042944.

The previous prime is 3872346391. The next prime is 3872346421. The reversal of 3872346408 is 8046432783.

3872346408 is a `hidden beast` number, since 3 + 8 + 7 + 234 + 6 + 408 = 666.

3872346408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4453 + ... + 88116.

It is an arithmetic number, because the mean of its divisors is an integer number (126358050).

Almost surely, 2^3872346408 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 3872346408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065186400).

3872346408 is an abundant number, since it is smaller than the sum of its proper divisors (8258026392).

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

3872346408 is a wasteful number, since it uses less digits than its factorization.

3872346408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92671 (or 92664 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3872346408 is about 62228.1801758657. The cubic root of 3872346408 is about 1570.3317091589.

The spelling of 3872346408 in words is "three billion, eight hundred seventy-two million, three hundred forty-six thousand, four hundred eight".