3622409280 has 672 divisors, whose sum is σ = 15374112000. Its totient is φ = 780337152.

The previous prime is 3622409257. The next prime is 3622409309. The reversal of 3622409280 is 829042263.

3622409280 is a `hidden beast` number, since 3 + 622 + 4 + 0 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18768864 + ... + 18769056.

Almost surely, 2^3622409280 is an apocalyptic number.

3622409280 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 3622409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687056000).

3622409280 is an abundant number, since it is smaller than the sum of its proper divisors (11751702720).

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

3622409280 is a wasteful number, since it uses less digits than its factorization.

3622409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3622409280 is about 60186.4542899812. The cubic root of 3622409280 is about 1535.7923710235.

The spelling of 3622409280 in words is "three billion, six hundred twenty-two million, four hundred nine thousand, two hundred eighty".