3482357424 has 160 divisors (see below), whose sum is σ = 11187617280. Its totient is φ = 908845056.

The previous prime is 3482357393. The next prime is 3482357443. The reversal of 3482357424 is 4247532843.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419587 + ... + 427805.

It is an arithmetic number, because the mean of its divisors is an integer number (69922608).

Almost surely, 2^3482357424 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 3482357424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593808640).

3482357424 is an abundant number, since it is smaller than the sum of its proper divisors (7705259856).

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

3482357424 is a wasteful number, since it uses less digits than its factorization.

3482357424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347 (or 8341 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The square root of 3482357424 is about 59011.5024719757. The cubic root of 3482357424 is about 1515.7390801828.

The spelling of 3482357424 in words is "three billion, four hundred eighty-two million, three hundred fifty-seven thousand, four hundred twenty-four".