3362646144 has 384 divisors, whose sum is σ = 11167531200. Its totient is φ = 888053760.

The previous prime is 3362646127. The next prime is 3362646151. The reversal of 3362646144 is 4416462633.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3362646144² = 22614778179516137472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11476462 + ... + 11476754.

Almost surely, 2^3362646144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583765600).

3362646144 is an abundant number, since it is smaller than the sum of its proper divisors (7804885056).

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

3362646144 is a wasteful number, since it uses less digits than its factorization.

3362646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 341 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 3362646144 is about 57988.3276530717. The cubic root of 3362646144 is about 1498.1675614687.

The spelling of 3362646144 in words is "three billion, three hundred sixty-two million, six hundred forty-six thousand, one hundred forty-four".