3382214400 has 648 divisors, whose sum is σ = 13315310960. Its totient is φ = 839393280.

The previous prime is 3382214387. The next prime is 3382214417. The reversal of 3382214400 is 44122833.

3382214400 is a `hidden beast` number, since 3 + 38 + 221 + 4 + 400 = 666.

It is a super-2 number, since 2×3382214400² = 22878748495134720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 91411182 + ... + 91411218.

Almost surely, 2^3382214400 is an apocalyptic number.

3382214400 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 3382214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657655480).

3382214400 is an abundant number, since it is smaller than the sum of its proper divisors (9933096560).

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

3382214400 is a wasteful number, since it uses less digits than its factorization.

3382214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3382214400 is about 58156.8087157471. The cubic root of 3382214400 is about 1501.0680393475.

The spelling of 3382214400 in words is "three billion, three hundred eighty-two million, two hundred fourteen thousand, four hundred".