3489306714432 has 2240 divisors, whose sum is σ = 14040998535168. Its totient is φ = 830269440000.

The previous prime is 3489306714427. The next prime is 3489306714433. The reversal of 3489306714432 is 2344176039843.

It is a happy number.

3489306714432 is a `hidden beast` number, since 3 + 48 + 93 + 0 + 6 + 71 + 443 + 2 = 666.

It is a super-2 number, since 2×3489306714432² (a number of 26 digits) contains 22 as substring.

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 (3489306714433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34547591182 + ... + 34547591282.

Almost surely, 2^{3489306714432} is an apocalyptic number.

3489306714432 is a gapful number since it is divisible by the number (32) 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 3489306714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020499267584).

3489306714432 is an abundant number, since it is smaller than the sum of its proper divisors (10551691820736).

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

3489306714432 is a wasteful number, since it uses less digits than its factorization.

3489306714432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3489306714432 in words is "three trillion, four hundred eighty-nine billion, three hundred six million, seven hundred fourteen thousand, four hundred thirty-two".