3320040100 has 72 divisors (see below), whose sum is σ = 7791607208. Its totient is φ = 1220659200.

The previous prime is 3320040083. The next prime is 3320040121. The reversal of 3320040100 is 10400233.

3320040100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2040690276 + 1279349824 = 45174^2 + 35768^2 .

It is a super-2 number, since 2×3320040100² = 22045332531216020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308002 + ... + 318598.

Almost surely, 2^3320040100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895803604).

3320040100 is an abundant number, since it is smaller than the sum of its proper divisors (4471567108).

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

3320040100 is a wasteful number, since it uses less digits than its factorization.

3320040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10865 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3320040100 is about 57619.7891353309. The cubic root of 3320040100 is about 1491.8131913256.

Adding to 3320040100 its reverse (10400233), we get a palindrome (3330440333).

The spelling of 3320040100 in words is "three billion, three hundred twenty million, forty thousand, one hundred".