3489841904640 has 1056 divisors, whose sum is σ = 14806464289344. Its totient is φ = 692972421120.

The previous prime is 3489841904639. The next prime is 3489841904663. The reversal of 3489841904640 is 464091489843.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 166322950 + ... + 166343930.

Almost surely, 2^{3489841904640} is an apocalyptic number.

3489841904640 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 3489841904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403232144672).

3489841904640 is an abundant number, since it is smaller than the sum of its proper divisors (11316622384704).

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

3489841904640 is a wasteful number, since it uses less digits than its factorization.

3489841904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21053 (or 21028 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 3489841904640 in words is "three trillion, four hundred eighty-nine billion, eight hundred forty-one million, nine hundred four thousand, six hundred forty".