3393320400 has 180 divisors, whose sum is σ = 11814929932. Its totient is φ = 901877760.

The previous prime is 3393320347. The next prime is 3393320401. The reversal of 3393320400 is 40233933.

3393320400 is a `hidden beast` number, since 339 + 3 + 320 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 63107136 + 3330213264 = 7944^2 + 57708^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3393320401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1211802 + ... + 1214598.

Almost surely, 2^3393320400 is an apocalyptic number.

3393320400 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 3393320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907464966).

3393320400 is an abundant number, since it is smaller than the sum of its proper divisors (8421609532).

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

3393320400 is a wasteful number, since it uses less digits than its factorization.

3393320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3393320400 is about 58252.2136918418. The cubic root of 3393320400 is about 1502.7092370769.

The spelling of 3393320400 in words is "three billion, three hundred ninety-three million, three hundred twenty thousand, four hundred".