4893003984 has 80 divisors (see below), whose sum is σ = 13926055104. Its totient is φ = 1468032000.

The previous prime is 4893003967. The next prime is 4893004003.

4893003984 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7452 + ... + 99204.

Almost surely, 2^4893003984 is an apocalyptic number.

4893003984 is a gapful number since it is divisible by the number (44) 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 4893003984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963027552).

4893003984 is an abundant number, since it is smaller than the sum of its proper divisors (9033051120).

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

4893003984 is a wasteful number, since it uses less digits than its factorization.

4893003984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91876 (or 91870 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 4893003984 is about 69950.0106075760. The cubic root of 4893003984 is about 1697.6905183877.

The spelling of 4893003984 in words is "four billion, eight hundred ninety-three million, three thousand, nine hundred eighty-four".