4322774400 has 192 divisors, whose sum is σ = 16272410880. Its totient is φ = 988047360.

The previous prime is 4322774371. The next prime is 4322774413. The reversal of 4322774400 is 44772234.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35037 + ... + 99363.

It is an arithmetic number, because the mean of its divisors is an integer number (84752140).

Almost surely, 2^4322774400 is an apocalyptic number.

4322774400 is a gapful number since it is divisible by the number (40) 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 4322774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136205440).

4322774400 is an abundant number, since it is smaller than the sum of its proper divisors (11949636480).

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

4322774400 is a wasteful number, since it uses less digits than its factorization.

4322774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64361 (or 64344 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 4322774400 is about 65747.8090889727. The cubic root of 4322774400 is about 1628.9991472090. Note that the first 3 decimals are identical.

The spelling of 4322774400 in words is "four billion, three hundred twenty-two million, seven hundred seventy-four thousand, four hundred".