3084961600 has 378 divisors, whose sum is σ = 9404981190. Its totient is φ = 992839680.

The previous prime is 3084961597. The next prime is 3084961603. The reversal of 3084961600 is 61694803.

It is an interprime number because it is at equal distance from previous prime (3084961597) and next prime (3084961603).

It can be written as a sum of positive squares in 3 ways, for example, as 366799104 + 2718162496 = 19152^2 + 52136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3084961600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084961603) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 28302346 + ... + 28302454.

Almost surely, 2^3084961600 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 3084961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702490595).

3084961600 is an abundant number, since it is smaller than the sum of its proper divisors (6320019590).

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

3084961600 is a wasteful number, since it uses less digits than its factorization.

3084961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3084961600 is about 55542.4306274041. The cubic root of 3084961600 is about 1455.7381185804.

The spelling of 3084961600 in words is "three billion, eighty-four million, nine hundred sixty-one thousand, six hundred".