3382456644 has 120 divisors (see below), whose sum is σ = 10454283840. Its totient is φ = 933073344.

The previous prime is 3382456633. The next prime is 3382456657. The reversal of 3382456644 is 4466542833.

3382456644 is a `hidden beast` number, since 3 + 3 + 82 + 4 + 566 + 4 + 4 = 666.

It is a super-2 number, since 2×3382456644² = 22882025897079485472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3382456644.

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 39 ways as a sum of consecutive naturals, for example, 40059 + ... + 91485.

It is an arithmetic number, because the mean of its divisors is an integer number (87119032).

Almost surely, 2^3382456644 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 3382456644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227141920).

3382456644 is an abundant number, since it is smaller than the sum of its proper divisors (7071827196).

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

3382456644 is a wasteful number, since it uses less digits than its factorization.

3382456644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51479 (or 51468 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The square root of 3382456644 is about 58158.8913580718. The cubic root of 3382456644 is about 1501.1038754401.

The spelling of 3382456644 in words is "three billion, three hundred eighty-two million, four hundred fifty-six thousand, six hundred forty-four".