4380088320 has 144 divisors (see below), whose sum is σ = 15180918480. Its totient is φ = 1167998976.

The previous prime is 4380088319. The next prime is 4380088331. The reversal of 4380088320 is 238800834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 68397 + ... + 115923.

It is an arithmetic number, because the mean of its divisors is an integer number (105423045).

Almost surely, 2^4380088320 is an apocalyptic number.

4380088320 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 4380088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7590459240).

4380088320 is an abundant number, since it is smaller than the sum of its proper divisors (10800830160).

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

4380088320 is a wasteful number, since it uses less digits than its factorization.

4380088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47560 (or 47537 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4380088320 is about 66182.2356829988. The cubic root of 4380088320 is about 1636.1669754231.

The spelling of 4380088320 in words is "four billion, three hundred eighty million, eighty-eight thousand, three hundred twenty".