3306398940 has 288 divisors, whose sum is σ = 11403624960. Its totient is φ = 799186176.

The previous prime is 3306398897. The next prime is 3306398941. The reversal of 3306398940 is 498936033.

3306398940 is a `hidden beast` number, since 3 + 3 + 0 + 639 + 8 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306398941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3727177 + ... + 3728063.

It is an arithmetic number, because the mean of its divisors is an integer number (39595920).

Almost surely, 2^3306398940 is an apocalyptic number.

3306398940 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 3306398940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701812480).

3306398940 is an abundant number, since it is smaller than the sum of its proper divisors (8097226020).

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

3306398940 is a wasteful number, since it uses less digits than its factorization.

3306398940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3306398940 is about 57501.2951158493. The cubic root of 3306398940 is about 1489.7672323806.

The spelling of 3306398940 in words is "three billion, three hundred six million, three hundred ninety-eight thousand, nine hundred forty".