3900330000 has 600 divisors, whose sum is σ = 16074554496. Its totient is φ = 864000000.

The previous prime is 3900329981. The next prime is 3900330001. The reversal of 3900330000 is 330093.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (3900330001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25829925 + ... + 25830075.

Almost surely, 2^3900330000 is an apocalyptic number.

3900330000 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 3900330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037277248).

3900330000 is an abundant number, since it is smaller than the sum of its proper divisors (12174224496).

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

3900330000 is a wasteful number, since it uses less digits than its factorization.

3900330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 3900330000 is about 62452.6220426332. The cubic root of 3900330000 is about 1574.1053119692.

Adding to 3900330000 its reverse (330093), we get a palindrome (3900660093).

The spelling of 3900330000 in words is "three billion, nine hundred million, three hundred thirty thousand".