3488270800 has 540 divisors, whose sum is σ = 11269819980. Its totient is φ = 1029611520.

The previous prime is 3488270791. The next prime is 3488270803. The reversal of 3488270800 is 80728843.

It can be written as a sum of positive squares in 6 ways, for example, as 1132096 + 3487138704 = 1064^2 + 59052^2 .

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 (3488270803) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 120285186 + ... + 120285214.

It is an arithmetic number, because the mean of its divisors is an integer number (20870037).

Almost surely, 2^3488270800 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 3488270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634909990).

3488270800 is an abundant number, since it is smaller than the sum of its proper divisors (7781549180).

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

3488270800 is a wasteful number, since it uses less digits than its factorization.

3488270800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 3488270800 is about 59061.5848077242. The cubic root of 3488270800 is about 1516.5965516567.

The spelling of 3488270800 in words is "three billion, four hundred eighty-eight million, two hundred seventy thousand, eight hundred".