4688003200 has 96 divisors (see below), whose sum is σ = 11610484560. Its totient is φ = 1870402560.

The previous prime is 4688003189. The next prime is 4688003213. The reversal of 4688003200 is 23008864.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1415947 + ... + 1419253.

Almost surely, 2^4688003200 is an apocalyptic number.

4688003200 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 4688003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805242280).

4688003200 is an abundant number, since it is smaller than the sum of its proper divisors (6922481360).

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

4688003200 is a wasteful number, since it uses less digits than its factorization.

4688003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4688003200 is about 68468.9944427403. The cubic root of 4688003200 is about 1673.6422590467.

The spelling of 4688003200 in words is "four billion, six hundred eighty-eight million, three thousand, two hundred".