3036264000 has 896 divisors, whose sum is σ = 13146292224. Its totient is φ = 599040000.

The previous prime is 3036263999. The next prime is 3036264019. The reversal of 3036264000 is 4626303.

3036264000 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57287974 + ... + 57288026.

Almost surely, 2^3036264000 is an apocalyptic number.

3036264000 is a gapful number since it is divisible by the number (30) 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 3036264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573146112).

3036264000 is an abundant number, since it is smaller than the sum of its proper divisors (10110028224).

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

3036264000 is a wasteful number, since it uses less digits than its factorization.

3036264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3036264000 is about 55102.3048519751. The cubic root of 3036264000 is about 1448.0376148873.

The spelling of 3036264000 in words is "three billion, thirty-six million, two hundred sixty-four thousand".