3415665720 has 256 divisors, whose sum is σ = 11249280000. Its totient is φ = 826675200.

The previous prime is 3415665713. The next prime is 3415665731. The reversal of 3415665720 is 275665143.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5701981 + ... + 5702579.

It is an arithmetic number, because the mean of its divisors is an integer number (43942500).

Almost surely, 2^3415665720 is an apocalyptic number.

3415665720 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 3415665720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

3415665720 is an abundant number, since it is smaller than the sum of its proper divisors (7833614280).

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

3415665720 is a wasteful number, since it uses less digits than its factorization.

3415665720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 3415665720 is about 58443.6970083173. The cubic root of 3415665720 is about 1506.0005149828. Note that the first 3 decimals are identical.

The spelling of 3415665720 in words is "three billion, four hundred fifteen million, six hundred sixty-five thousand, seven hundred twenty".