3498876288 has 384 divisors, whose sum is σ = 11174042880. Its totient is φ = 1047416832.

The previous prime is 3498876281. The next prime is 3498876317. The reversal of 3498876288 is 8826788943.

3498876288 is a `hidden beast` number, since 3 + 498 + 8 + 7 + 62 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3498876281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42155095 + ... + 42155177.

It is an arithmetic number, because the mean of its divisors is an integer number (29099070).

Almost surely, 2^3498876288 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 3498876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587021440).

3498876288 is an abundant number, since it is smaller than the sum of its proper divisors (7675166592).

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

3498876288 is a wasteful number, since it uses less digits than its factorization.

3498876288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 3498876288 is about 59151.2999688088. The cubic root of 3498876288 is about 1518.1319803801.

The spelling of 3498876288 in words is "three billion, four hundred ninety-eight million, eight hundred seventy-six thousand, two hundred eighty-eight".