4532346880 has 224 divisors, whose sum is σ = 12059985024. Its totient is φ = 1626341376.

The previous prime is 4532346823. The next prime is 4532346881. The reversal of 4532346880 is 886432354.

It is not an unprimeable number, because it can be changed into a prime (4532346881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16015219 + ... + 16015501.

Almost surely, 2^4532346880 is an apocalyptic number.

4532346880 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 4532346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029992512).

4532346880 is an abundant number, since it is smaller than the sum of its proper divisors (7527638144).

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

4532346880 is a wasteful number, since it uses less digits than its factorization.

4532346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The square root of 4532346880 is about 67322.7070162809. The cubic root of 4532346880 is about 1654.9100001867.

The spelling of 4532346880 in words is "four billion, five hundred thirty-two million, three hundred forty-six thousand, eight hundred eighty".