3487389984 has 192 divisors, whose sum is σ = 11006513280. Its totient is φ = 1067904000.

The previous prime is 3487389959. The next prime is 3487389991. The reversal of 3487389984 is 4899837843.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2818614 + ... + 2819850.

It is an arithmetic number, because the mean of its divisors is an integer number (57325590).

Almost surely, 2^3487389984 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 3487389984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503256640).

3487389984 is an abundant number, since it is smaller than the sum of its proper divisors (7519123296).

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

3487389984 is a wasteful number, since it uses less digits than its factorization.

3487389984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1506 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 3487389984 is about 59054.1275780110. The cubic root of 3487389984 is about 1516.4688900313.

The spelling of 3487389984 in words is "three billion, four hundred eighty-seven million, three hundred eighty-nine thousand, nine hundred eighty-four".