3482941440 has 288 divisors, whose sum is σ = 12260823120. Its totient is φ = 843448320.

The previous prime is 3482941421. The next prime is 3482941447. The reversal of 3482941440 is 441492843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482941447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3716652 + ... + 3717588.

Almost surely, 2^3482941440 is an apocalyptic number.

3482941440 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 3482941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130411560).

3482941440 is an abundant number, since it is smaller than the sum of its proper divisors (8777881680).

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

3482941440 is a wasteful number, since it uses less digits than its factorization.

3482941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3482941440 is about 59016.4505879505. The cubic root of 3482941440 is about 1515.8238088389.

The spelling of 3482941440 in words is "three billion, four hundred eighty-two million, nine hundred forty-one thousand, four hundred forty".