3283290000 has 225 divisors, whose sum is σ = 11542570039. Its totient is φ = 870960000.

The previous prime is 3283289959. The next prime is 3283290001. The reversal of 3283290000 is 923823.

The square root of 3283290000 is 57300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 257409936 + 3025880064 = 16044^2 + 55008^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3283290001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17189905 + ... + 17190095.

Almost surely, 2^3283290000 is an apocalyptic number.

3283290000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3283290000 is the 57300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283290000

3283290000 is an abundant number, since it is smaller than the sum of its proper divisors (8259280039).

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

3283290000 is an equidigital number, since it uses as much as digits as its factorization.

3283290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 3283290000 is about 1486.2883761594.

The spelling of 3283290000 in words is "three billion, two hundred eighty-three million, two hundred ninety thousand".