4894344000 has 1120 divisors, whose sum is σ = 22553346816. Its totient is φ = 1020211200.

The previous prime is 4894343977. The next prime is 4894344061. The reversal of 4894344000 is 4434984.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 58967959 + ... + 58968041.

Almost surely, 2^4894344000 is an apocalyptic number.

4894344000 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 4894344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276673408).

4894344000 is an abundant number, since it is smaller than the sum of its proper divisors (17659002816).

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

4894344000 is a wasteful number, since it uses less digits than its factorization.

4894344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4894344000 is about 69959.5883349809. The cubic root of 4894344000 is about 1697.8454828242.

Adding to 4894344000 its reverse (4434984), we get a palindrome (4898778984).

The spelling of 4894344000 in words is "four billion, eight hundred ninety-four million, three hundred forty-four thousand".