3482706240 has 448 divisors, whose sum is σ = 13405835520. Its totient is φ = 846028800.

The previous prime is 3482706239. The next prime is 3482706247. The reversal of 3482706240 is 426072843.

3482706240 is a `hidden beast` number, since 3 + 4 + 8 + 27 + 0 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3482706195 and 3482706204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482706247) 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, 11344167 + ... + 11344473.

It is an arithmetic number, because the mean of its divisors is an integer number (29923740).

Almost surely, 2^3482706240 is an apocalyptic number.

3482706240 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 3482706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702917760).

3482706240 is an abundant number, since it is smaller than the sum of its proper divisors (9923129280).

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

3482706240 is a wasteful number, since it uses less digits than its factorization.

3482706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3482706240 is about 59014.4578895714. The cubic root of 3482706240 is about 1515.7896873172.

The spelling of 3482706240 in words is "three billion, four hundred eighty-two million, seven hundred six thousand, two hundred forty".