3431066880 has 144 divisors (see below), whose sum is σ = 10982853504. Its totient is φ = 912875520.

The previous prime is 3431066867. The next prime is 3431066923. The reversal of 3431066880 is 886601343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2483790 + ... + 2485170.

It is an arithmetic number, because the mean of its divisors is an integer number (76269816).

Almost surely, 2^3431066880 is an apocalyptic number.

3431066880 is a gapful number since it is divisible by the number (30) 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 3431066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491426752).

3431066880 is an abundant number, since it is smaller than the sum of its proper divisors (7551786624).

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

3431066880 is a wasteful number, since it uses less digits than its factorization.

3431066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3431066880 is about 58575.3094742145. The cubic root of 3431066880 is about 1508.2606289413.

The spelling of 3431066880 in words is "three billion, four hundred thirty-one million, sixty-six thousand, eight hundred eighty".