3084005376 has 156 divisors (see below), whose sum is σ = 8970127920. Its totient is φ = 1020887040.

The previous prime is 3084005369. The next prime is 3084005381. The reversal of 3084005376 is 6735004803.

It is a happy number.

It is a super-2 number, since 2×3084005376² = 19022178318393802752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3084005376.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9916261 + ... + 9916571.

It is an arithmetic number, because the mean of its divisors is an integer number (57500820).

Almost surely, 2^3084005376 is an apocalyptic number.

3084005376 is a gapful number since it is divisible by the number (36) 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 3084005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485063960).

3084005376 is an abundant number, since it is smaller than the sum of its proper divisors (5886122544).

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

3084005376 is a wasteful number, since it uses less digits than its factorization.

3084005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3084005376 is about 55533.8219106159. The cubic root of 3084005376 is about 1455.5876947117.

The spelling of 3084005376 in words is "three billion, eighty-four million, five thousand, three hundred seventy-six".