3364464240 has 120 divisors (see below), whose sum is σ = 11344617648. Its totient is φ = 893568000.

The previous prime is 3364464239. The next prime is 3364464247. The reversal of 3364464240 is 424644633.

3364464240 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 4 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3364464240² = 22639239244477555200, 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 = 3364464195 and 3364464204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364464247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171412 + ... + 190028.

Almost surely, 2^3364464240 is an apocalyptic number.

3364464240 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 3364464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672308824).

3364464240 is an abundant number, since it is smaller than the sum of its proper divisors (7980153408).

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

3364464240 is a wasteful number, since it uses less digits than its factorization.

3364464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18887 (or 18878 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 3364464240 is about 58004.0019309013. The cubic root of 3364464240 is about 1498.4375196686.

The spelling of 3364464240 in words is "three billion, three hundred sixty-four million, four hundred sixty-four thousand, two hundred forty".