3386466240 has 112 divisors (see below), whose sum is σ = 10928482080. Its totient is φ = 888238080.

The previous prime is 3386466229. The next prime is 3386466241. The reversal of 3386466240 is 426646833.

It is a happy number.

It is a super-2 number, since 2×3386466240² = 22936307189319475200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3386466192 and 3386466201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386466241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29646 + ... + 87474.

Almost surely, 2^3386466240 is an apocalyptic number.

3386466240 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 3386466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464241040).

3386466240 is an abundant number, since it is smaller than the sum of its proper divisors (7542015840).

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

3386466240 is a wasteful number, since it uses less digits than its factorization.

3386466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57910 (or 57900 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 3386466240 is about 58193.3521976523. The cubic root of 3386466240 is about 1501.6967821188.

The spelling of 3386466240 in words is "three billion, three hundred eighty-six million, four hundred sixty-six thousand, two hundred forty".