3036507264 has 480 divisors, whose sum is σ = 10833807600. Its totient is φ = 841300992.

The previous prime is 3036507209. The next prime is 3036507293. The reversal of 3036507264 is 4627056303.

3036507264 is a `hidden beast` number, since 30 + 365 + 0 + 7 + 264 = 666.

3036507264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21845307 + ... + 21845445.

Almost surely, 2^3036507264 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 3036507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416903800).

3036507264 is an abundant number, since it is smaller than the sum of its proper divisors (7797300336).

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

3036507264 is a wasteful number, since it uses less digits than its factorization.

3036507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3036507264 is about 55104.5121927415. The cubic root of 3036507264 is about 1448.0762858785.

The spelling of 3036507264 in words is "three billion, thirty-six million, five hundred seven thousand, two hundred sixty-four".