3422177280 has 288 divisors, whose sum is σ = 12050700480. Its totient is φ = 898007040.

The previous prime is 3422177279. The next prime is 3422177281. The reversal of 3422177280 is 827712243.

It is an interprime number because it is at equal distance from previous prime (3422177279) and next prime (3422177281).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3422177280² = 23422594671496396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3422177281) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6543099 + ... + 6543621.

It is an arithmetic number, because the mean of its divisors is an integer number (41842710).

Almost surely, 2^3422177280 is an apocalyptic number.

3422177280 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 3422177280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025350240).

3422177280 is an abundant number, since it is smaller than the sum of its proper divisors (8628523200).

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

3422177280 is a wasteful number, since it uses less digits than its factorization.

3422177280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3422177280 is about 58499.3784582366. The cubic root of 3422177280 is about 1506.9569110436.

The spelling of 3422177280 in words is "three billion, four hundred twenty-two million, one hundred seventy-seven thousand, two hundred eighty".