3007636464 has 480 divisors, whose sum is σ = 10442545920. Its totient is φ = 738533376.

The previous prime is 3007636453. The next prime is 3007636493. The reversal of 3007636464 is 4646367003.

3007636464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28108699 + ... + 28108805.

It is an arithmetic number, because the mean of its divisors is an integer number (21755304).

Almost surely, 2^3007636464 is an apocalyptic number.

3007636464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3007636464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221272960).

3007636464 is an abundant number, since it is smaller than the sum of its proper divisors (7434909456).

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

3007636464 is a wasteful number, since it uses less digits than its factorization.

3007636464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 3007636464 is about 54841.9225045950. The cubic root of 3007636464 is about 1443.4722764237.

The spelling of 3007636464 in words is "three billion, seven million, six hundred thirty-six thousand, four hundred sixty-four".