3488088240 has 480 divisors, whose sum is σ = 14559068160. Its totient is φ = 728745984.

The previous prime is 3488088217. The next prime is 3488088301. The reversal of 3488088240 is 428808843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9107089 + ... + 9107471.

It is an arithmetic number, because the mean of its divisors is an integer number (30331392).

Almost surely, 2^3488088240 is an apocalyptic number.

3488088240 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 3488088240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279534080).

3488088240 is an abundant number, since it is smaller than the sum of its proper divisors (11070979920).

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

3488088240 is a wasteful number, since it uses less digits than its factorization.

3488088240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 3488088240 is about 59060.0392820730. The cubic root of 3488088240 is about 1516.5700939730.

The spelling of 3488088240 in words is "three billion, four hundred eighty-eight million, eighty-eight thousand, two hundred forty".