3489517830240 has 1008 divisors, whose sum is σ = 14141960643888. Its totient is φ = 808329756672.

The previous prime is 3489517830209. The next prime is 3489517830241. The reversal of 3489517830240 is 420387159843.

It is a happy number.

3489517830240 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 517 + 83 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3489517830241) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 438212499 + ... + 438220461.

It is an arithmetic number, because the mean of its divisors is an integer number (14029722861).

Almost surely, 2^{3489517830240} is an apocalyptic number.

3489517830240 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 3489517830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070980321944).

3489517830240 is an abundant number, since it is smaller than the sum of its proper divisors (10652442813648).

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

3489517830240 is a wasteful number, since it uses less digits than its factorization.

3489517830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8043 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3489517830240 in words is "three trillion, four hundred eighty-nine billion, five hundred seventeen million, eight hundred thirty thousand, two hundred forty".