3488941120 has 280 divisors, whose sum is σ = 10244937600. Its totient is φ = 1128508416.

The previous prime is 3488941111. The next prime is 3488941123. The reversal of 3488941120 is 211498843.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3488941123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14597961 + ... + 14598199.

Almost surely, 2^3488941120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3488941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122468800).

3488941120 is an abundant number, since it is smaller than the sum of its proper divisors (6755996480).

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

3488941120 is an equidigital number, since it uses as much as digits as its factorization.

3488941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 3488941120 is about 59067.2592897283. The cubic root of 3488941120 is about 1516.6936905113.

The spelling of 3488941120 in words is "three billion, four hundred eighty-eight million, nine hundred forty-one thousand, one hundred twenty".