3461145984 has 128 divisors (see below), whose sum is σ = 10659571200. Its totient is φ = 1103528448.

The previous prime is 3461145983. The next prime is 3461146021. The reversal of 3461145984 is 4895411643.

3461145984 is a `hidden beast` number, since 3 + 46 + 1 + 14 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461145983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57717 + ... + 101259.

It is an arithmetic number, because the mean of its divisors is an integer number (83277900).

Almost surely, 2^3461145984 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 3461145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329785600).

3461145984 is an abundant number, since it is smaller than the sum of its proper divisors (7198425216).

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

3461145984 is a wasteful number, since it uses less digits than its factorization.

3461145984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43589 (or 43571 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3461145984 is about 58831.5050291933. The cubic root of 3461145984 is about 1512.6552967060.

The spelling of 3461145984 in words is "three billion, four hundred sixty-one million, one hundred forty-five thousand, nine hundred eighty-four".