4379870880 has 1296 divisors, whose sum is σ = 20861699040. Its totient is φ = 862202880.

The previous prime is 4379870731. The next prime is 4379870903. The reversal of 4379870880 is 880789734.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 230519511 + ... + 230519529.

It is an arithmetic number, because the mean of its divisors is an integer number (16096990).

Almost surely, 2^4379870880 is an apocalyptic number.

4379870880 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 4379870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10430849520).

4379870880 is an abundant number, since it is smaller than the sum of its proper divisors (16481828160).

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

4379870880 is a wasteful number, since it uses less digits than its factorization.

4379870880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4379870880 is about 66180.5929257211. The cubic root of 4379870880 is about 1636.1399003196.

The spelling of 4379870880 in words is "four billion, three hundred seventy-nine million, eight hundred seventy thousand, eight hundred eighty".