3224966400 has 270 divisors, whose sum is σ = 11926086942. Its totient is φ = 859852800.

The previous prime is 3224966399. The next prime is 3224966401. The reversal of 3224966400 is 46694223.

3224966400 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 9 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3224966399) and next prime (3224966401).

It can be written as a sum of positive squares in 3 ways, for example, as 5992704 + 3218973696 = 2448^2 + 56736^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×3224966400² = 20800816562257920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224966401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 515290 + ... + 521510.

Almost surely, 2^3224966400 is an apocalyptic number.

3224966400 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 3224966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963043471).

3224966400 is an abundant number, since it is smaller than the sum of its proper divisors (8701120542).

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

3224966400 is an equidigital number, since it uses as much as digits as its factorization.

3224966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3224966400 is about 56788.7876257277. The cubic root of 3224966400 is about 1477.4350508696.

The spelling of 3224966400 in words is "three billion, two hundred twenty-four million, nine hundred sixty-six thousand, four hundred".