3222374400 has 864 divisors, whose sum is σ = 14047225920. Its totient is φ = 716636160.

The previous prime is 3222374399. The next prime is 3222374413. The reversal of 3222374400 is 44732223.

3222374400 is a `hidden beast` number, since 3 + 22 + 237 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87091182 + ... + 87091218.

Almost surely, 2^3222374400 is an apocalyptic number.

3222374400 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 3222374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7023612960).

3222374400 is an abundant number, since it is smaller than the sum of its proper divisors (10824851520).

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

3222374400 is an equidigital number, since it uses as much as digits as its factorization.

3222374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 3222374400 is about 56765.9616319498. The cubic root of 3222374400 is about 1477.0391254967.

The spelling of 3222374400 in words is "three billion, two hundred twenty-two million, three hundred seventy-four thousand, four hundred".