3302013000 has 512 divisors, whose sum is σ = 12454041600. Its totient is φ = 717696000.

The previous prime is 3302012981. The next prime is 3302013031. The reversal of 3302013000 is 3102033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18446911 + ... + 18447089.

It is an arithmetic number, because the mean of its divisors is an integer number (24324300).

Almost surely, 2^3302013000 is an apocalyptic number.

3302013000 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 3302013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227020800).

3302013000 is an abundant number, since it is smaller than the sum of its proper divisors (9152028600).

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

3302013000 is a wasteful number, since it uses less digits than its factorization.

3302013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3302013000 is about 57463.1447103272. The cubic root of 3302013000 is about 1489.1082152166.

Adding to 3302013000 its reverse (3102033), we get a palindrome (3305115033).

The spelling of 3302013000 in words is "three billion, three hundred two million, thirteen thousand".