3321132000 has 192 divisors, whose sum is σ = 10989748224. Its totient is φ = 876710400.

The previous prime is 3321131993. The next prime is 3321132041. The reversal of 3321132000 is 2311233.

3321132000 = T₇₂₂₇ + T₇₂₂₈ + ... + T₇₃₅₁.

It is a super-2 number, since 2×3321132000² = 22059835522848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234657 + ... + 1237343.

It is an arithmetic number, because the mean of its divisors is an integer number (57238272).

Almost surely, 2^3321132000 is an apocalyptic number.

3321132000 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 3321132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494874112).

3321132000 is an abundant number, since it is smaller than the sum of its proper divisors (7668616224).

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

3321132000 is a wasteful number, since it uses less digits than its factorization.

3321132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3321132000 is about 57629.2633997694. The cubic root of 3321132000 is about 1491.9767166882.

Adding to 3321132000 its reverse (2311233), we get a palindrome (3323443233).

The spelling of 3321132000 in words is "three billion, three hundred twenty-one million, one hundred thirty-two thousand".