3487616160 has 288 divisors, whose sum is σ = 12948284160. Its totient is φ = 786659328.

The previous prime is 3487616141. The next prime is 3487616177. The reversal of 3487616160 is 616167843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1857142 + ... + 1859018.

It is an arithmetic number, because the mean of its divisors is an integer number (44959320).

Almost surely, 2^3487616160 is an apocalyptic number.

3487616160 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 3487616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474142080).

3487616160 is an abundant number, since it is smaller than the sum of its proper divisors (9460668000).

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

3487616160 is a wasteful number, since it uses less digits than its factorization.

3487616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3487616160 is about 59056.0425358828. The cubic root of 3487616160 is about 1516.5016730443.

The spelling of 3487616160 in words is "three billion, four hundred eighty-seven million, six hundred sixteen thousand, one hundred sixty".