3309934140 has 288 divisors, whose sum is σ = 11416204800. Its totient is φ = 771724800.

The previous prime is 3309934093. The next prime is 3309934151. The reversal of 3309934140 is 414399033.

3309934140 is a `hidden beast` number, since 3 + 309 + 9 + 341 + 4 + 0 = 666.

It is a super-2 number, since 2×3309934140² = 21911328022275079200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3309934095 and 3309934104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2280415 + ... + 2281865.

It is an arithmetic number, because the mean of its divisors is an integer number (39639600).

Almost surely, 2^3309934140 is an apocalyptic number.

3309934140 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 3309934140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708102400).

3309934140 is an abundant number, since it is smaller than the sum of its proper divisors (8106270660).

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

3309934140 is a wasteful number, since it uses less digits than its factorization.

3309934140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3309934140 is about 57532.0270805749. The cubic root of 3309934140 is about 1490.2979960407.

The spelling of 3309934140 in words is "three billion, three hundred nine million, nine hundred thirty-four thousand, one hundred forty".