3415902382656 has 189 divisors, whose sum is σ = 9986162933019. Its totient is φ = 1116381606912.

The previous prime is 3415902382649. The next prime is 3415902382679. The reversal of 3415902382656 is 6562832095143.

It is a happy number.

The square root of 3415902382656 is 1848216.

It is a perfect power (a square), and thus also a powerful number.

3415902382656 is a `hidden beast` number, since 3 + 4 + 1 + 590 + 23 + 8 + 26 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1950446869056 + 1465455513600 = 1396584^2 + 1210560^2 .

It is a super-2 number, since 2×3415902382656² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2350930026 + ... + 2350931478.

Almost surely, 2^{3415902382656} is an apocalyptic number.

3415902382656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3415902382656 is the 1848216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415902382656

3415902382656 is an abundant number, since it is smaller than the sum of its proper divisors (6570260550363).

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

3415902382656 is an frugal number, since it uses more digits than its factorization.

3415902382656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3415902382656 in words is "three trillion, four hundred fifteen billion, nine hundred two million, three hundred eighty-two thousand, six hundred fifty-six".