3482082432 has 320 divisors, whose sum is σ = 11044855800. Its totient is φ = 1086898176.

The previous prime is 3482082419. The next prime is 3482082449. The reversal of 3482082432 is 2342802843.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2665037376 + 817045056 = 51624^2 + 28584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11124708 + ... + 11125020.

Almost surely, 2^3482082432 is an apocalyptic number.

3482082432 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 3482082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522427900).

3482082432 is an abundant number, since it is smaller than the sum of its proper divisors (7562773368).

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

3482082432 is a wasteful number, since it uses less digits than its factorization.

3482082432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3482082432 is about 59009.1724395454. The cubic root of 3482082432 is about 1515.6991812444.

The spelling of 3482082432 in words is "three billion, four hundred eighty-two million, eighty-two thousand, four hundred thirty-two".