3285720900 has 432 divisors, whose sum is σ = 13600379520. Its totient is φ = 642355200.

The previous prime is 3285720899. The next prime is 3285720929. The reversal of 3285720900 is 90275823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1176706 + ... + 1179494.

It is an arithmetic number, because the mean of its divisors is an integer number (31482360).

Almost surely, 2^3285720900 is an apocalyptic number.

3285720900 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 3285720900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800189760).

3285720900 is an abundant number, since it is smaller than the sum of its proper divisors (10314658620).

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

3285720900 is a wasteful number, since it uses less digits than its factorization.

3285720900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3285720900 is about 57321.2081170661. The cubic root of 3285720900 is about 1486.6550944110.

The spelling of 3285720900 in words is "three billion, two hundred eighty-five million, seven hundred twenty thousand, nine hundred".