3386307640 has 64 divisors (see below), whose sum is σ = 7757940960. Its totient is φ = 1329937920.

The previous prime is 3386307637. The next prime is 3386307643. The reversal of 3386307640 is 467036833.

It is an interprime number because it is at equal distance from previous prime (3386307637) and next prime (3386307643).

It is a super-2 number, since 2×3386307640² = 22934158865444739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3386307593 and 3386307602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386307643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2080507 + ... + 2082133.

Almost surely, 2^3386307640 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 3386307640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878970480).

3386307640 is an abundant number, since it is smaller than the sum of its proper divisors (4371633320).

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

3386307640 is a wasteful number, since it uses less digits than its factorization.

3386307640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 3386307640 is about 58191.9894830895. The cubic root of 3386307640 is about 1501.6733385239.

The spelling of 3386307640 in words is "three billion, three hundred eighty-six million, three hundred seven thousand, six hundred forty".