3484373904 has 120 divisors (see below), whose sum is σ = 10698199200. Its totient is φ = 1049886720.

The previous prime is 3484373899. The next prime is 3484373909. The reversal of 3484373904 is 4093734843.

It is an interprime number because it is at equal distance from previous prime (3484373899) and next prime (3484373909).

It is a self number, because there is not a number n which added to its sum of digits gives 3484373904.

It is not an unprimeable number, because it can be changed into a prime (3484373909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277392 + ... + 289680.

It is an arithmetic number, because the mean of its divisors is an integer number (89151660).

Almost surely, 2^3484373904 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 3484373904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349099600).

3484373904 is an abundant number, since it is smaller than the sum of its proper divisors (7213825296).

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

3484373904 is a wasteful number, since it uses less digits than its factorization.

3484373904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12493 (or 12484 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3484373904 is about 59028.5854819510. The cubic root of 3484373904 is about 1516.0315896723.

The spelling of 3484373904 in words is "three billion, four hundred eighty-four million, three hundred seventy-three thousand, nine hundred four".