3229286400 has 408 divisors, whose sum is σ = 12027074960. Its totient is φ = 849346560.

The previous prime is 3229286393. The next prime is 3229286419. The reversal of 3229286400 is 46829223.

3229286400 is a `hidden beast` number, since 3 + 2 + 2 + 9 + 2 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44236764 + ... + 44236836.

Almost surely, 2^3229286400 is an apocalyptic number.

3229286400 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 3229286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013537480).

3229286400 is an abundant number, since it is smaller than the sum of its proper divisors (8797788560).

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

3229286400 is an frugal number, since it uses more digits than its factorization.

3229286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3229286400 is about 56826.8105738832. The cubic root of 3229286400 is about 1478.0944553252.

The spelling of 3229286400 in words is "three billion, two hundred twenty-nine million, two hundred eighty-six thousand, four hundred".