3365915040 has 192 divisors, whose sum is σ = 11811744000. Its totient is φ = 895214592.

The previous prime is 3365915029. The next prime is 3365915041. The reversal of 3365915040 is 405195633.

3365915040 is a `hidden beast` number, since 3 + 3 + 65 + 91 + 504 + 0 = 666.

It is a super-2 number, since 2×3365915040² = 22658768112996403200, 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 = 3365914986 and 3365915004.

It is not an unprimeable number, because it can be changed into a prime (3365915041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2172186 + ... + 2173734.

It is an arithmetic number, because the mean of its divisors is an integer number (61519500).

Almost surely, 2^3365915040 is an apocalyptic number.

3365915040 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 3365915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905872000).

3365915040 is an abundant number, since it is smaller than the sum of its proper divisors (8445828960).

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

3365915040 is a wasteful number, since it uses less digits than its factorization.

3365915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3365915040 is about 58016.5066166518. The cubic root of 3365915040 is about 1498.6528705236.

The spelling of 3365915040 in words is "three billion, three hundred sixty-five million, nine hundred fifteen thousand, forty".