3393482400 has 432 divisors, whose sum is σ = 14921419968. Its totient is φ = 705024000.

The previous prime is 3393482381. The next prime is 3393482413. The reversal of 3393482400 is 42843933.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 551340 + ... + 557460.

It is an arithmetic number, because the mean of its divisors is an integer number (34540324).

Almost surely, 2^3393482400 is an apocalyptic number.

3393482400 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 3393482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460709984).

3393482400 is an abundant number, since it is smaller than the sum of its proper divisors (11527937568).

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

3393482400 is a wasteful number, since it uses less digits than its factorization.

3393482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3393482400 is about 58253.6041803424. The cubic root of 3393482400 is about 1502.7331502351.

The spelling of 3393482400 in words is "three billion, three hundred ninety-three million, four hundred eighty-two thousand, four hundred".