3291125200 has 240 divisors, whose sum is σ = 9535211136. Its totient is φ = 1076838400.

The previous prime is 3291125191. The next prime is 3291125203. The reversal of 3291125200 is 25211923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3291125203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1719444 + ... + 1721356.

Almost surely, 2^3291125200 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 3291125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767605568).

3291125200 is an abundant number, since it is smaller than the sum of its proper divisors (6244085936).

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

3291125200 is a wasteful number, since it uses less digits than its factorization.

3291125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 3291125200 is about 57368.3292418387. The cubic root of 3291125200 is about 1487.4697232733.

The spelling of 3291125200 in words is "three billion, two hundred ninety-one million, one hundred twenty-five thousand, two hundred".