3290125800 has 288 divisors, whose sum is σ = 11224370880. Its totient is φ = 796723200.

The previous prime is 3290125799. The next prime is 3290125843. The reversal of 3290125800 is 85210923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 7199172 + ... + 7199628.

It is an arithmetic number, because the mean of its divisors is an integer number (38973510).

Almost surely, 2^3290125800 is an apocalyptic number.

3290125800 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 3290125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612185440).

3290125800 is an abundant number, since it is smaller than the sum of its proper divisors (7934245080).

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

3290125800 is a wasteful number, since it uses less digits than its factorization.

3290125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 3290125800 is about 57359.6181995661. The cubic root of 3290125800 is about 1487.3191437956.

The spelling of 3290125800 in words is "three billion, two hundred ninety million, one hundred twenty-five thousand, eight hundred".