3486221312 has 176 divisors, whose sum is σ = 8520760320. Its totient is φ = 1393459200.

The previous prime is 3486221311. The next prime is 3486221351. The reversal of 3486221312 is 2131226843.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3486221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6443762 + ... + 6444302.

Almost surely, 2^3486221312 is an apocalyptic number.

3486221312 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 3486221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260380160).

3486221312 is an abundant number, since it is smaller than the sum of its proper divisors (5034539008).

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

3486221312 is a wasteful number, since it uses less digits than its factorization.

3486221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 3486221312 is about 59044.2318266569. The cubic root of 3486221312 is about 1516.2994746285.

The spelling of 3486221312 in words is "three billion, four hundred eighty-six million, two hundred twenty-one thousand, three hundred twelve".