3482062080 has 288 divisors, whose sum is σ = 12782423808. Its totient is φ = 791347200.

The previous prime is 3482062079. The next prime is 3482062099. The reversal of 3482062080 is 802602843.

It is a Cunningham number, because it is equal to 59009²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7553050 + ... + 7553510.

It is an arithmetic number, because the mean of its divisors is an integer number (44383416).

Almost surely, 2^3482062080 is an apocalyptic number.

3482062080 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 3482062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391211904).

3482062080 is an abundant number, since it is smaller than the sum of its proper divisors (9300361728).

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

3482062080 is a wasteful number, since it uses less digits than its factorization.

3482062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3482062080 is about 59008.9999915267. Note that the first 5 decimals coincide. The cubic root of 3482062080 is about 1515.6962282634.

The spelling of 3482062080 in words is "three billion, four hundred eighty-two million, sixty-two thousand, eighty".