3482800944 has 160 divisors (see below), whose sum is σ = 10775691264. Its totient is φ = 947738880.

The previous prime is 3482800943. The next prime is 3482800949. The reversal of 3482800944 is 4490082843.

It is a super-2 number, since 2×3482800944² = 24259804831054582272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3482800896 and 3482800905.

It is not an unprimeable number, because it can be changed into a prime (3482800943) 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 31 ways as a sum of consecutive naturals, for example, 2093457 + ... + 2095119.

Almost surely, 2^3482800944 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 3482800944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387845632).

3482800944 is an abundant number, since it is smaller than the sum of its proper divisors (7292890320).

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

3482800944 is a wasteful number, since it uses less digits than its factorization.

3482800944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3482800944 is about 59015.2602637657. The cubic root of 3482800944 is about 1515.8034266371.

The spelling of 3482800944 in words is "three billion, four hundred eighty-two million, eight hundred thousand, nine hundred forty-four".