4380964800 has 336 divisors, whose sum is σ = 14929481952. Its totient is φ = 1123942400.

The previous prime is 4380964769. The next prime is 4380964823. The reversal of 4380964800 is 84690834.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22238302 + ... + 22238498.

It is an arithmetic number, because the mean of its divisors is an integer number (44432982).

Almost surely, 2^4380964800 is an apocalyptic number.

4380964800 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 4380964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464740976).

4380964800 is an abundant number, since it is smaller than the sum of its proper divisors (10548517152).

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

4380964800 is a wasteful number, since it uses less digits than its factorization.

4380964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4380964800 is about 66188.8570682407. The cubic root of 4380964800 is about 1636.2761035108.

The spelling of 4380964800 in words is "four billion, three hundred eighty million, nine hundred sixty-four thousand, eight hundred".