3249906900 has 144 divisors (see below), whose sum is σ = 9843120000. Its totient is φ = 826327040.

The previous prime is 3249906887. The next prime is 3249906941. The reversal of 3249906900 is 96099423.

It is a super-2 number, since 2×3249906900² = 21123789717335220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3097576 + ... + 3098624.

It is an arithmetic number, because the mean of its divisors is an integer number (68355000).

Almost surely, 2^3249906900 is an apocalyptic number.

3249906900 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 3249906900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921560000).

3249906900 is an abundant number, since it is smaller than the sum of its proper divisors (6593213100).

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

3249906900 is a wasteful number, since it uses less digits than its factorization.

3249906900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 3249906900 is about 57007.9547080932. The cubic root of 3249906900 is about 1481.2338900489.

The spelling of 3249906900 in words is "three billion, two hundred forty-nine million, nine hundred six thousand, nine hundred".