3482352384 has 432 divisors, whose sum is σ = 11528699616. Its totient is φ = 928972800.

The previous prime is 3482352373. The next prime is 3482352389. The reversal of 3482352384 is 4832532843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482352389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57087714 + ... + 57087774.

Almost surely, 2^3482352384 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 3482352384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764349808).

3482352384 is an abundant number, since it is smaller than the sum of its proper divisors (8046347232).

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

3482352384 is a wasteful number, since it uses less digits than its factorization.

3482352384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 3482352384 is about 59011.4597684213. The cubic root of 3482352384 is about 1515.7383489417.

The spelling of 3482352384 in words is "three billion, four hundred eighty-two million, three hundred fifty-two thousand, three hundred eighty-four".