3225446400 has 576 divisors, whose sum is σ = 12284213760. Its totient is φ = 738918400.

The previous prime is 3225446351. The next prime is 3225446443. The reversal of 3225446400 is 46445223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38860759 + ... + 38860841.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760).

Almost surely, 2^3225446400 is an apocalyptic number.

3225446400 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 3225446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

3225446400 is an abundant number, since it is smaller than the sum of its proper divisors (9058767360).

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

3225446400 is a wasteful number, since it uses less digits than its factorization.

3225446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3225446400 is about 56793.0136548502. The cubic root of 3225446400 is about 1477.5083471003.

The spelling of 3225446400 in words is "three billion, two hundred twenty-five million, four hundred forty-six thousand, four hundred".