3487283712 has 640 divisors, whose sum is σ = 12727756800. Its totient is φ = 928972800.

The previous prime is 3487283699. The next prime is 3487283719. The reversal of 3487283712 is 2173827843.

It is a super-2 number, since 2×3487283712² = 24322295375960997888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3487283719) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 49116637 + ... + 49116707.

It is an arithmetic number, because the mean of its divisors is an integer number (19887120).

Almost surely, 2^3487283712 is an apocalyptic number.

3487283712 is a gapful number since it is divisible by the number (32) 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 3487283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363878400).

3487283712 is an abundant number, since it is smaller than the sum of its proper divisors (9240473088).

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

3487283712 is a wasteful number, since it uses less digits than its factorization.

3487283712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 3487283712 is about 59053.2277864640. The cubic root of 3487283712 is about 1516.4534859785.

The spelling of 3487283712 in words is "three billion, four hundred eighty-seven million, two hundred eighty-three thousand, seven hundred twelve".