3400945200 has 360 divisors, whose sum is σ = 12715275456. Its totient is φ = 838656000.

The previous prime is 3400945153. The next prime is 3400945237. The reversal of 3400945200 is 25490043.

It is a tau number, because it is divible by the number of its divisors (360).

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, 3732745 + ... + 3733655.

Almost surely, 2^3400945200 is an apocalyptic number.

3400945200 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 3400945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357637728).

3400945200 is an abundant number, since it is smaller than the sum of its proper divisors (9314330256).

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

3400945200 is a wasteful number, since it uses less digits than its factorization.

3400945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3400945200 is about 58317.6234083660. The cubic root of 3400945200 is about 1503.8339256605.

The spelling of 3400945200 in words is "three billion, four hundred million, nine hundred forty-five thousand, two hundred".