3488828843520 has 960 divisors, whose sum is σ = 12965695142400. Its totient is φ = 865059471360.

The previous prime is 3488828843453. The next prime is 3488828843561. The reversal of 3488828843520 is 253488288843.

3488828843520 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 8 + 28 + 84 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8057341224 + ... + 8057341656.

It is an arithmetic number, because the mean of its divisors is an integer number (13505932440).

Almost surely, 2^{3488828843520} is an apocalyptic number.

3488828843520 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 3488828843520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482847571200).

3488828843520 is an abundant number, since it is smaller than the sum of its proper divisors (9476866298880).

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

3488828843520 is a wasteful number, since it uses less digits than its factorization.

3488828843520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 3488828843520 in words is "three trillion, four hundred eighty-eight billion, eight hundred twenty-eight million, eight hundred forty-three thousand, five hundred twenty".