3032964000 has 960 divisors, whose sum is σ = 13014473472. Its totient is φ = 684288000.

The previous prime is 3032963959. The next prime is 3032964001. The reversal of 3032964000 is 4692303.

3032964000 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 hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3032964001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81971982 + ... + 81972018.

Almost surely, 2^3032964000 is an apocalyptic number.

3032964000 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 3032964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507236736).

3032964000 is an abundant number, since it is smaller than the sum of its proper divisors (9981509472).

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

3032964000 is a wasteful number, since it uses less digits than its factorization.

3032964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3032964000 is about 55072.3524102612. The cubic root of 3032964000 is about 1447.5128190226.

The spelling of 3032964000 in words is "three billion, thirty-two million, nine hundred sixty-four thousand".