3480242688 has 360 divisors, whose sum is σ = 11243772540. Its totient is φ = 1035141120.

The previous prime is 3480242687. The next prime is 3480242719. The reversal of 3480242688 is 8862420843.

3480242688 is a `hidden beast` number, since 348 + 0 + 242 + 68 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 156950784 + 3323291904 = 12528^2 + 57648^2 .

It is a super-2 number, since 2×3480242688² = 24224178334754930688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3480242687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31928778 + ... + 31928886.

Almost surely, 2^3480242688 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 3480242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621886270).

3480242688 is an abundant number, since it is smaller than the sum of its proper divisors (7763529852).

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

3480242688 is a wasteful number, since it uses less digits than its factorization.

3480242688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3480242688 is about 58993.5817525941. The cubic root of 3480242688 is about 1515.4321963993.

The spelling of 3480242688 in words is "three billion, four hundred eighty million, two hundred forty-two thousand, six hundred eighty-eight".