3461241888 has 192 divisors, whose sum is σ = 11512005120. Its totient is φ = 1002295296.

The previous prime is 3461241881. The next prime is 3461241893. The reversal of 3461241888 is 8881421643.

3461241888 is a `hidden beast` number, since 3 + 461 + 2 + 4 + 188 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3461241881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181881 + ... + 200007.

It is an arithmetic number, because the mean of its divisors is an integer number (59958360).

Almost surely, 2^3461241888 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 3461241888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756002560).

3461241888 is an abundant number, since it is smaller than the sum of its proper divisors (8050763232).

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

3461241888 is a wasteful number, since it uses less digits than its factorization.

3461241888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18176 (or 18162 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 3461241888 is about 58832.3200970351. The cubic root of 3461241888 is about 1512.6692678352.

The spelling of 3461241888 in words is "three billion, four hundred sixty-one million, two hundred forty-one thousand, eight hundred eighty-eight".