3073985600 has 126 divisors (see below), whose sum is σ = 8799076890. Its totient is φ = 1053911040.

The previous prime is 3073985549. The next prime is 3073985653. The reversal of 3073985600 is 65893703.

It can be written as a sum of positive squares in 3 ways, for example, as 818875456 + 2255110144 = 28616^2 + 47488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58796 + ... + 98004.

Almost surely, 2^3073985600 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 3073985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399538445).

3073985600 is an abundant number, since it is smaller than the sum of its proper divisors (5725091290).

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

3073985600 is a wasteful number, since it uses less digits than its factorization.

3073985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39245 (or 39223 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 3073985600 is about 55443.5352408196. The cubic root of 3073985600 is about 1454.0096077348.

The spelling of 3073985600 in words is "three billion, seventy-three million, nine hundred eighty-five thousand, six hundred".