3461522688 has 180 divisors, whose sum is σ = 11116471828. Its totient is φ = 1065000960.

The previous prime is 3461522663. The next prime is 3461522689. The reversal of 3461522688 is 8862251643.

3461522688 is a `hidden beast` number, since 3 + 4 + 61 + 522 + 68 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1021953024 + 2439569664 = 31968^2 + 49392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461522689) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 263148 + ... + 275988.

Almost surely, 2^3461522688 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 3461522688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558235914).

3461522688 is an abundant number, since it is smaller than the sum of its proper divisors (7654949140).

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

3461522688 is a wasteful number, since it uses less digits than its factorization.

3461522688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882 (or 12859 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 3461522688 is about 58834.7064920018. The cubic root of 3461522688 is about 1512.7101728108.

The spelling of 3461522688 in words is "three billion, four hundred sixty-one million, five hundred twenty-two thousand, six hundred eighty-eight".