3084107904 has 384 divisors, whose sum is σ = 10104756480. Its totient is φ = 897515520.

The previous prime is 3084107903. The next prime is 3084107951. The reversal of 3084107904 is 4097014803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3084107903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18467629 + ... + 18467795.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^3084107904 is an apocalyptic number.

3084107904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3084107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052378240).

3084107904 is an abundant number, since it is smaller than the sum of its proper divisors (7020648576).

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

3084107904 is a wasteful number, since it uses less digits than its factorization.

3084107904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3084107904 is about 55534.7450160708. The cubic root of 3084107904 is about 1455.6038249086.

The spelling of 3084107904 in words is "three billion, eighty-four million, one hundred seven thousand, nine hundred four".