3368112840 has 160 divisors (see below), whose sum is σ = 11343154680. Its totient is φ = 896375808.

The previous prime is 3368112827. The next prime is 3368112851. The reversal of 3368112840 is 482118633.

3368112840 is a `hidden beast` number, since 3 + 368 + 11 + 284 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2596717764 + 771395076 = 50958^2 + 27774^2 .

It is a super-2 number, since 2×3368112840² = 22688368205945731200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3368112795 and 3368112804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2776074 + ... + 2777286.

Almost surely, 2^3368112840 is an apocalyptic number.

3368112840 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 3368112840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671577340).

3368112840 is an abundant number, since it is smaller than the sum of its proper divisors (7975041840).

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

3368112840 is a wasteful number, since it uses less digits than its factorization.

3368112840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3368112840 is about 58035.4446868463. Note that the first 3 decimals coincide. The cubic root of 3368112840 is about 1498.9789851768.

The spelling of 3368112840 in words is "three billion, three hundred sixty-eight million, one hundred twelve thousand, eight hundred forty".