3459983232 has 64 divisors (see below), whose sum is σ = 9203317200. Its totient is φ = 1151729664.

The previous prime is 3459983209. The next prime is 3459983237. The reversal of 3459983232 is 2323899543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3459983237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289438 + ... + 301154.

Almost surely, 2^3459983232 is an apocalyptic number.

3459983232 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 3459983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601658600).

3459983232 is an abundant number, since it is smaller than the sum of its proper divisors (5743333968).

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

3459983232 is a wasteful number, since it uses less digits than its factorization.

3459983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12503 (or 12491 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 3459983232 is about 58821.6221469623. The cubic root of 3459983232 is about 1512.4858884643.

The spelling of 3459983232 in words is "three billion, four hundred fifty-nine million, nine hundred eighty-three thousand, two hundred thirty-two".