4860038880 has 768 divisors, whose sum is σ = 19639065600. Its totient is φ = 1128701952.

The previous prime is 4860038879. The next prime is 4860038893. The reversal of 4860038880 is 888300684.

4860038880 is a `hidden beast` number, since 4 + 8 + 600 + 38 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×4860038880² = 47239955830223308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113024139 + ... + 113024181.

It is an arithmetic number, because the mean of its divisors is an integer number (25571700).

Almost surely, 2^4860038880 is an apocalyptic number.

4860038880 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 4860038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9819532800).

4860038880 is an abundant number, since it is smaller than the sum of its proper divisors (14779026720).

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

4860038880 is a wasteful number, since it uses less digits than its factorization.

4860038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4860038880 is about 69713.9790859767. The cubic root of 4860038880 is about 1693.8693689467.

The spelling of 4860038880 in words is "four billion, eight hundred sixty million, thirty-eight thousand, eight hundred eighty".