3345664410 has 96 divisors (see below), whose sum is σ = 9902176128. Its totient is φ = 775800960.

The previous prime is 3345664409. The next prime is 3345664423. The reversal of 3345664410 is 144665433.

3345664410 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 6 + 644 + 1 + 0 = 666.

It is a super-2 number, since 2×3345664410² = 22386940688681296200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50697 + ... + 96236.

It is an arithmetic number, because the mean of its divisors is an integer number (103147668).

Almost surely, 2^3345664410 is an apocalyptic number.

3345664410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3345664410 is an abundant number, since it is smaller than the sum of its proper divisors (6556511718).

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

3345664410 is a wasteful number, since it uses less digits than its factorization.

3345664410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146980 (or 146977 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3345664410 is about 57841.7185947997. The cubic root of 3345664410 is about 1495.6413336191.

The spelling of 3345664410 in words is "three billion, three hundred forty-five million, six hundred sixty-four thousand, four hundred ten".