3302538400 has 144 divisors (see below), whose sum is σ = 9306904320. Its totient is φ = 1120896000.

The previous prime is 3302538383. The next prime is 3302538403. The reversal of 3302538400 is 48352033.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3302538403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562681 + ... + 568519.

It is an arithmetic number, because the mean of its divisors is an integer number (64631280).

Almost surely, 2^3302538400 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 3302538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653452160).

3302538400 is an abundant number, since it is smaller than the sum of its proper divisors (6004365920).

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

3302538400 is a wasteful number, since it uses less digits than its factorization.

3302538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3302538400 is about 57467.7161543766. The cubic root of 3302538400 is about 1489.1871908762.

The spelling of 3302538400 in words is "three billion, three hundred two million, five hundred thirty-eight thousand, four hundred".