3409996800 has 264 divisors, whose sum is σ = 12882278656. Its totient is φ = 779304960.

The previous prime is 3409996783. The next prime is 3409996829. The reversal of 3409996800 is 86999043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3409996800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534429 + ... + 540771.

Almost surely, 2^3409996800 is an apocalyptic number.

3409996800 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 3409996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441139328).

3409996800 is an abundant number, since it is smaller than the sum of its proper divisors (9472281856).

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

3409996800 is a wasteful number, since it uses less digits than its factorization.

3409996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6383 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 3409996800 is about 58395.1778831095. The cubic root of 3409996800 is about 1505.1668928214.

The spelling of 3409996800 in words is "three billion, four hundred nine million, nine hundred ninety-six thousand, eight hundred".