3680074944 has 560 divisors, whose sum is σ = 13940942400. Its totient is φ = 933617664.

The previous prime is 3680074943. The next prime is 3680074963. The reversal of 3680074944 is 4494700863.

It is a self number, because there is not a number n which added to its sum of digits gives 3680074944.

It is not an unprimeable number, because it can be changed into a prime (3680074943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13680442 + ... + 13680710.

It is an arithmetic number, because the mean of its divisors is an integer number (24894540).

Almost surely, 2^3680074944 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 3680074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970471200).

3680074944 is an abundant number, since it is smaller than the sum of its proper divisors (10260867456).

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

3680074944 is a wasteful number, since it uses less digits than its factorization.

3680074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3680074944 is about 60663.6212568950. The cubic root of 3680074944 is about 1543.8990063430.

The spelling of 3680074944 in words is "three billion, six hundred eighty million, seventy-four thousand, nine hundred forty-four".