3396409600 has 432 divisors, whose sum is σ = 9854369280. Its totient is φ = 1150156800.

The previous prime is 3396409579. The next prime is 3396409603. The reversal of 3396409600 is 69046933.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3396409603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64083174 + ... + 64083226.

It is an arithmetic number, because the mean of its divisors is an integer number (22811040).

Almost surely, 2^3396409600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3396409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927184640).

3396409600 is an abundant number, since it is smaller than the sum of its proper divisors (6457959680).

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

3396409600 is a wasteful number, since it uses less digits than its factorization.

3396409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The square root of 3396409600 is about 58278.7233902734. The cubic root of 3396409600 is about 1503.1651092840.

The spelling of 3396409600 in words is "three billion, three hundred ninety-six million, four hundred nine thousand, six hundred".