3487686930 has 512 divisors, whose sum is σ = 12489523200. Its totient is φ = 671846400.

The previous prime is 3487686929. The next prime is 3487686959. The reversal of 3487686930 is 396867843.

3487686930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14471610 + ... + 14471850.

It is an arithmetic number, because the mean of its divisors is an integer number (24393600).

Almost surely, 2^3487686930 is an apocalyptic number.

3487686930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487686930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244761600).

3487686930 is an abundant number, since it is smaller than the sum of its proper divisors (9001836270).

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

3487686930 is a wasteful number, since it uses less digits than its factorization.

3487686930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3487686930 is about 59056.6417094640. The cubic root of 3487686930 is about 1516.5119304897.

The spelling of 3487686930 in words is "three billion, four hundred eighty-seven million, six hundred eighty-six thousand, nine hundred thirty".