3415213368 has 672 divisors, whose sum is σ = 12784165200. Its totient is φ = 846526464.

The previous prime is 3415213339. The next prime is 3415213369. The reversal of 3415213368 is 8633125143.

3415213368 is a `hidden beast` number, since 3 + 41 + 521 + 33 + 68 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3415213369) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 92303046 + ... + 92303082.

Almost surely, 2^3415213368 is an apocalyptic number.

3415213368 is a gapful number since it is divisible by the number (38) 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 3415213368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392082600).

3415213368 is an abundant number, since it is smaller than the sum of its proper divisors (9368951832).

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

3415213368 is a wasteful number, since it uses less digits than its factorization.

3415213368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3415213368 is about 58439.8268991276. The cubic root of 3415213368 is about 1505.9340299034.

The spelling of 3415213368 in words is "three billion, four hundred fifteen million, two hundred thirteen thousand, three hundred sixty-eight".