3486233760 has 96 divisors (see below), whose sum is σ = 11042583552. Its totient is φ = 924503040.

The previous prime is 3486233711. The next prime is 3486233767. The reversal of 3486233760 is 673326843.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3486233767) 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 15 ways as a sum of consecutive naturals, for example, 66817 + ... + 106943.

It is an arithmetic number, because the mean of its divisors is an integer number (115026912).

Almost surely, 2^3486233760 is an apocalyptic number.

3486233760 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 3486233760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521291776).

3486233760 is an abundant number, since it is smaller than the sum of its proper divisors (7556349792).

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

3486233760 is a wasteful number, since it uses less digits than its factorization.

3486233760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40326 (or 40318 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 3486233760 is about 59044.3372390613. The cubic root of 3486233760 is about 1516.3012793402.

The spelling of 3486233760 in words is "three billion, four hundred eighty-six million, two hundred thirty-three thousand, seven hundred sixty".