3322153000 has 128 divisors (see below), whose sum is σ = 8131687200. Its totient is φ = 1268736000.

The previous prime is 3322152997. The next prime is 3322153019. The reversal of 3322153000 is 3512233.

It can be written as a sum of positive squares in 16 ways, for example, as 1397124 + 3320755876 = 1182^2 + 57626^2 .

It is a super-2 number, since 2×3322153000² = 22073401110818000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2812410 + ... + 2813590.

Almost surely, 2^3322153000 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 3322153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065843600).

3322153000 is an abundant number, since it is smaller than the sum of its proper divisors (4809534200).

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

3322153000 is a wasteful number, since it uses less digits than its factorization.

3322153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 3322153000 is about 57638.1210658363. The cubic root of 3322153000 is about 1492.1295914865.

Adding to 3322153000 its reverse (3512233), we get a palindrome (3325665233).

The spelling of 3322153000 in words is "three billion, three hundred twenty-two million, one hundred fifty-three thousand".