3482394240 has 512 divisors, whose sum is σ = 13139884800. Its totient is φ = 776208384.

The previous prime is 3482394221. The next prime is 3482394241. The reversal of 3482394240 is 424932843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3482394241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12305139 + ... + 12305421.

Almost surely, 2^3482394240 is an apocalyptic number.

3482394240 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 3482394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569942400).

3482394240 is an abundant number, since it is smaller than the sum of its proper divisors (9657490560).

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

3482394240 is a wasteful number, since it uses less digits than its factorization.

3482394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3482394240 is about 59011.8144103365. The cubic root of 3482394240 is about 1515.7444217035.

The spelling of 3482394240 in words is "three billion, four hundred eighty-two million, three hundred ninety-four thousand, two hundred forty".