3487718080 has 336 divisors, whose sum is σ = 10722290976. Its totient is φ = 1068318720.

The previous prime is 3487718077. The next prime is 3487718081. The reversal of 3487718080 is 808177843.

3487718080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3487718080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3487718081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12590902 + ... + 12591178.

Almost surely, 2^3487718080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361145488).

3487718080 is an abundant number, since it is smaller than the sum of its proper divisors (7234572896).

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

3487718080 is a wasteful number, since it uses less digits than its factorization.

3487718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The square root of 3487718080 is about 59056.9054387376. The cubic root of 3487718080 is about 1516.5164453451.

The spelling of 3487718080 in words is "three billion, four hundred eighty-seven million, seven hundred eighteen thousand, eighty".