3610973072 has 60 divisors (see below), whose sum is σ = 8154104220. Its totient is φ = 1544594688.

The previous prime is 3610973071. The next prime is 3610973087. The reversal of 3610973072 is 2703790163.

3610973072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1830470656 + 1780502416 = 42784^2 + 42196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3610973071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432554 + ... + 440822.

It is an arithmetic number, because the mean of its divisors is an integer number (135901737).

Almost surely, 2^3610973072 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 3610973072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077052110).

3610973072 is an abundant number, since it is smaller than the sum of its proper divisors (4543131148).

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

3610973072 is a wasteful number, since it uses less digits than its factorization.

3610973072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8848 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 3610973072 is about 60091.3726919264. The cubic root of 3610973072 is about 1534.1744646933.

The spelling of 3610973072 in words is "three billion, six hundred ten million, nine hundred seventy-three thousand, seventy-two".