3346260840 has 144 divisors (see below), whose sum is σ = 11776478220. Its totient is φ = 823680000.

The previous prime is 3346260811. The next prime is 3346260881. The reversal of 3346260840 is 480626433.

It is a happy number.

3346260840 is a `hidden beast` number, since 3 + 3 + 4 + 6 + 2 + 608 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 101124 + 3346159716 = 318^2 + 57846^2 .

It is a super-2 number, since 2×3346260840² = 22394923218635011200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 3346260795 and 3346260804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33340 + ... + 88340.

Almost surely, 2^3346260840 is an apocalyptic number.

3346260840 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 3346260840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888239110).

3346260840 is an abundant number, since it is smaller than the sum of its proper divisors (8430217380).

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

3346260840 is a wasteful number, since it uses less digits than its factorization.

3346260840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55044 (or 55024 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3346260840 is about 57846.8740728486. The cubic root of 3346260840 is about 1495.7302040943.

The spelling of 3346260840 in words is "three billion, three hundred forty-six million, two hundred sixty thousand, eight hundred forty".