3461505606 has 96 divisors (see below), whose sum is σ = 8321564160. Its totient is φ = 1033113600.

The previous prime is 3461505583. The next prime is 3461505623. The reversal of 3461505606 is 6065051643.

3461505606 is a `hidden beast` number, since 3 + 46 + 1 + 5 + 0 + 5 + 606 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1831510 + ... + 1833398.

It is an arithmetic number, because the mean of its divisors is an integer number (86682960).

Almost surely, 2^3461505606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3461505606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

3461505606 is an abundant number, since it is smaller than the sum of its proper divisors (4860058554).

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

3461505606 is a wasteful number, since it uses less digits than its factorization.

3461505606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3461505606 is about 58834.5613224064. The cubic root of 3461505606 is about 1512.7076844880.

The spelling of 3461505606 in words is "three billion, four hundred sixty-one million, five hundred five thousand, six hundred six".