4347872760 has 512 divisors, whose sum is σ = 17225809920. Its totient is φ = 851558400.

The previous prime is 4347872759. The next prime is 4347872761. The reversal of 4347872760 is 672787434.

It is an interprime number because it is at equal distance from previous prime (4347872759) and next prime (4347872761).

It is a super-4 number, since 4×4347872760⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4347872761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12316744 + ... + 12317096.

It is an arithmetic number, because the mean of its divisors is an integer number (33644160).

Almost surely, 2^4347872760 is an apocalyptic number.

4347872760 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 4347872760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612904960).

4347872760 is an abundant number, since it is smaller than the sum of its proper divisors (12877937160).

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

4347872760 is a wasteful number, since it uses less digits than its factorization.

4347872760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The square root of 4347872760 is about 65938.4012545042. The cubic root of 4347872760 is about 1632.1457632446.

The spelling of 4347872760 in words is "four billion, three hundred forty-seven million, eight hundred seventy-two thousand, seven hundred sixty".