3461580144 has 320 divisors, whose sum is σ = 11274278400. Its totient is φ = 1007769600.

The previous prime is 3461580139. The next prime is 3461580167. The reversal of 3461580144 is 4410851643.

3461580144 is a `hidden beast` number, since 3 + 4 + 61 + 580 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3461580099 and 3461580108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21236607 + ... + 21236769.

It is an arithmetic number, because the mean of its divisors is an integer number (35232120).

Almost surely, 2^3461580144 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 3461580144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637139200).

3461580144 is an abundant number, since it is smaller than the sum of its proper divisors (7812698256).

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

3461580144 is a wasteful number, since it uses less digits than its factorization.

3461580144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3461580144 is about 58835.1947731968. The cubic root of 3461580144 is about 1512.7185423255.

The spelling of 3461580144 in words is "three billion, four hundred sixty-one million, five hundred eighty thousand, one hundred forty-four".