3249906400 has 144 divisors (see below), whose sum is σ = 8590418928. Its totient is φ = 1193472000.

The previous prime is 3249906377. The next prime is 3249906469. The reversal of 3249906400 is 46099423.

It is a self number, because there is not a number n which added to its sum of digits gives 3249906400.

It is a congruent number.

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, 2193660 + ... + 2195140.

It is an arithmetic number, because the mean of its divisors is an integer number (59655687).

Almost surely, 2^3249906400 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 3249906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295209464).

3249906400 is an abundant number, since it is smaller than the sum of its proper divisors (5340512528).

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

3249906400 is a wasteful number, since it uses less digits than its factorization.

3249906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 3249906400 is about 57007.9503227401. The cubic root of 3249906400 is about 1481.2338140860.

The spelling of 3249906400 in words is "three billion, two hundred forty-nine million, nine hundred six thousand, four hundred".