3422882880 has 224 divisors, whose sum is σ = 12142500480. Its totient is φ = 907683840.

The previous prime is 3422882843. The next prime is 3422882891. The reversal of 3422882880 is 882882243.

It is a happy number.

3422882880 is a `hidden beast` number, since 342 + 28 + 8 + 288 + 0 = 666.

It is a super-2 number, since 2×3422882880² = 23432254420394188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701075 + ... + 1703085.

Almost surely, 2^3422882880 is an apocalyptic number.

3422882880 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 3422882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071250240).

3422882880 is an abundant number, since it is smaller than the sum of its proper divisors (8719617600).

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

3422882880 is a wasteful number, since it uses less digits than its factorization.

3422882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 3422882880 is about 58505.4089807088. The cubic root of 3422882880 is about 1507.0604743250.

The spelling of 3422882880 in words is "three billion, four hundred twenty-two million, eight hundred eighty-two thousand, eight hundred eighty".