3489741636480 has 320 divisors, whose sum is σ = 13595454013680. Its totient is φ = 845997834240.

The previous prime is 3489741636463. The next prime is 3489741636487. The reversal of 3489741636480 is 846361479843.

It is a happy number.

3489741636480 is a `hidden beast` number, since 3 + 4 + 8 + 97 + 4 + 1 + 63 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3489741636487) 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 39 ways as a sum of consecutive naturals, for example, 2489649 + ... + 3630128.

Almost surely, 2^{3489741636480} is an apocalyptic number.

3489741636480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3489741636480 is an abundant number, since it is smaller than the sum of its proper divisors (10105712377200).

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

3489741636480 is a wasteful number, since it uses less digits than its factorization.

3489741636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119819 (or 6119798 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 3489741636480 in words is "three trillion, four hundred eighty-nine billion, seven hundred forty-one million, six hundred thirty-six thousand, four hundred eighty".