3415113468 has 192 divisors, whose sum is σ = 9876048000. Its totient is φ = 1019775744.

The previous prime is 3415113463. The next prime is 3415113469. The reversal of 3415113468 is 8643115143.

3415113468 is a `hidden beast` number, since 34 + 151 + 13 + 468 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3415113463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8779018 + ... + 8779406.

It is an arithmetic number, because the mean of its divisors is an integer number (51437750).

Almost surely, 2^3415113468 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 3415113468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938024000).

3415113468 is an abundant number, since it is smaller than the sum of its proper divisors (6460934532).

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

3415113468 is a wasteful number, since it uses less digits than its factorization.

3415113468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 444 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 3415113468 is about 58438.9721675527. The cubic root of 3415113468 is about 1505.9193461672.

The spelling of 3415113468 in words is "three billion, four hundred fifteen million, one hundred thirteen thousand, four hundred sixty-eight".