3488241291840 has 896 divisors, whose sum is σ = 13104156672000. Its totient is φ = 872189337600.

The previous prime is 3488241291839. The next prime is 3488241291863. The reversal of 3488241291840 is 481921428843.

3488241291840 is a `hidden beast` number, since 3 + 48 + 8 + 2 + 412 + 9 + 184 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1121980206 + ... + 1121983314.

Almost surely, 2^{3488241291840} is an apocalyptic number.

3488241291840 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 3488241291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552078336000).

3488241291840 is an abundant number, since it is smaller than the sum of its proper divisors (9615915380160).

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

3488241291840 is a wasteful number, since it uses less digits than its factorization.

3488241291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 3488241291840 in words is "three trillion, four hundred eighty-eight billion, two hundred forty-one million, two hundred ninety-one thousand, eight hundred forty".