3263200400 has 60 divisors (see below), whose sum is σ = 7913212272. Its totient is φ = 1293064320.

The previous prime is 3263200363. The next prime is 3263200403. The reversal of 3263200400 is 40023623.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3263200403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4679 + ... + 80921.

Almost surely, 2^3263200400 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 3263200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956606136).

3263200400 is an abundant number, since it is smaller than the sum of its proper divisors (4650011872).

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

3263200400 is a wasteful number, since it uses less digits than its factorization.

3263200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76368 (or 76357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3263200400 is about 57124.4290999919. The cubic root of 3263200400 is about 1483.2507678938.

The spelling of 3263200400 in words is "three billion, two hundred sixty-three million, two hundred thousand, four hundred".