3252798000 has 560 divisors, whose sum is σ = 12432079296. Its totient is φ = 821145600.

The previous prime is 3252797993. The next prime is 3252798001. The reversal of 3252798000 is 8972523.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3252798001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33533952 + ... + 33534048.

Almost surely, 2^3252798000 is an apocalyptic number.

3252798000 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 3252798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216039648).

3252798000 is an abundant number, since it is smaller than the sum of its proper divisors (9179281296).

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

3252798000 is an equidigital number, since it uses as much as digits as its factorization.

3252798000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

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

The square root of 3252798000 is about 57033.3060588285. The cubic root of 3252798000 is about 1481.6729924800.

The spelling of 3252798000 in words is "three billion, two hundred fifty-two million, seven hundred ninety-eight thousand".