3305667000 has 128 divisors (see below), whose sum is σ = 10920536640. Its totient is φ = 829644800.

The previous prime is 3305666981. The next prime is 3305667007. The reversal of 3305667000 is 7665033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305667007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18592 + ... + 83408.

Almost surely, 2^3305667000 is an apocalyptic number.

3305667000 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 3305667000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460268320).

3305667000 is an abundant number, since it is smaller than the sum of its proper divisors (7614869640).

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

3305667000 is a wasteful number, since it uses less digits than its factorization.

3305667000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64858 (or 64844 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 3305667000 is about 57494.9302112804. The cubic root of 3305667000 is about 1489.6572939733.

The spelling of 3305667000 in words is "three billion, three hundred five million, six hundred sixty-seven thousand".