3309413100 has 144 divisors (see below), whose sum is σ = 11023961088. Its totient is φ = 750850560.

The previous prime is 3309413099. The next prime is 3309413123. The reversal of 3309413100 is 13149033.

It is a super-2 number, since 2×3309413100² = 21904430132903220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281949 + ... + 293451.

Almost surely, 2^3309413100 is an apocalyptic number.

3309413100 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 3309413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511980544).

3309413100 is an abundant number, since it is smaller than the sum of its proper divisors (7714547988).

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

3309413100 is a wasteful number, since it uses less digits than its factorization.

3309413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11664 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3309413100 is about 57527.4986419538. The cubic root of 3309413100 is about 1490.2197925092.

The spelling of 3309413100 in words is "three billion, three hundred nine million, four hundred thirteen thousand, one hundred".