3321729000 has 320 divisors, whose sum is σ = 12122922240. Its totient is φ = 846806400.

The previous prime is 3321728981. The next prime is 3321729007. The reversal of 3321729000 is 9271233.

It is a super-2 number, since 2×3321729000² = 22067767098882000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3321729007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1862109 + ... + 1863891.

It is an arithmetic number, because the mean of its divisors is an integer number (37884132).

Almost surely, 2^3321729000 is an apocalyptic number.

3321729000 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 3321729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061461120).

3321729000 is an abundant number, since it is smaller than the sum of its proper divisors (8801193240).

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

3321729000 is a wasteful number, since it uses less digits than its factorization.

3321729000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3321729000 is about 57634.4428271845. The cubic root of 3321729000 is about 1492.0661095754.

The spelling of 3321729000 in words is "three billion, three hundred twenty-one million, seven hundred twenty-nine thousand".