3415224816 has 80 divisors (see below), whose sum is σ = 9861868800. Its totient is φ = 1131567552.

The previous prime is 3415224811. The next prime is 3415224871. The reversal of 3415224816 is 6184225143.

It is a happy number.

3415224816 is a `hidden beast` number, since 3 + 415 + 224 + 8 + 16 = 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 (3415224811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48475 + ... + 95813.

It is an arithmetic number, because the mean of its divisors is an integer number (123273360).

Almost surely, 2^3415224816 is an apocalyptic number.

3415224816 is a gapful number since it is divisible by the number (36) 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 3415224816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930934400).

3415224816 is an abundant number, since it is smaller than the sum of its proper divisors (6446643984).

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

3415224816 is a wasteful number, since it uses less digits than its factorization.

3415224816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47523 (or 47511 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3415224816 is about 58439.9248459476. The cubic root of 3415224816 is about 1505.9357125619.

Adding to 3415224816 its reverse (6184225143), we get a palindrome (9599449959).

The spelling of 3415224816 in words is "three billion, four hundred fifteen million, two hundred twenty-four thousand, eight hundred sixteen".