3488649815040 has 704 divisors, whose sum is σ = 12675401303040. Its totient is φ = 811851448320.

The previous prime is 3488649815011. The next prime is 3488649815047. The reversal of 3488649815040 is 405189468843.

It is a happy number.

It is a super-3 number, since 3×3488649815040³ (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3488649815047) 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 63 ways as a sum of consecutive naturals, for example, 3592841755 + ... + 3592842725.

Almost surely, 2^{3488649815040} is an apocalyptic number.

3488649815040 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 3488649815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337700651520).

3488649815040 is an abundant number, since it is smaller than the sum of its proper divisors (9186751488000).

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

3488649815040 is a wasteful number, since it uses less digits than its factorization.

3488649815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 3488649815040 in words is "three trillion, four hundred eighty-eight billion, six hundred forty-nine million, eight hundred fifteen thousand, forty".