3488997120 has 288 divisors, whose sum is σ = 12807148032. Its totient is φ = 792969216.

The previous prime is 3488997101. The next prime is 3488997133. The reversal of 3488997120 is 217998843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7875619 + ... + 7876061.

It is an arithmetic number, because the mean of its divisors is an integer number (44469264).

Almost surely, 2^3488997120 is an apocalyptic number.

3488997120 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 3488997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403574016).

3488997120 is an abundant number, since it is smaller than the sum of its proper divisors (9318150912).

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

3488997120 is a wasteful number, since it uses less digits than its factorization.

3488997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 3488997120 is about 59067.7333237022. The cubic root of 3488997120 is about 1516.7018051406.

The spelling of 3488997120 in words is "three billion, four hundred eighty-eight million, nine hundred ninety-seven thousand, one hundred twenty".