3322114400 has 72 divisors (see below), whose sum is σ = 8847418104. Its totient is φ = 1208038400.

The previous prime is 3322114391. The next prime is 3322114427. The reversal of 3322114400 is 44112233.

It is a super-2 number, since 2×3322114400² = 22072888173374720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179957 + ... + 197556.

It is an arithmetic number, because the mean of its divisors is an integer number (122880807).

Almost surely, 2^3322114400 is an apocalyptic number.

It is an amenable number.

3322114400 is an abundant number, since it is smaller than the sum of its proper divisors (5525303704).

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

3322114400 is a wasteful number, since it uses less digits than its factorization.

3322114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377544 (or 377531 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3322114400 is about 57637.7862170295. The cubic root of 3322114400 is about 1492.1238124605.

Adding to 3322114400 its reverse (44112233), we get a palindrome (3366226633).

The spelling of 3322114400 in words is "three billion, three hundred twenty-two million, one hundred fourteen thousand, four hundred".