3461667560 has 96 divisors (see below), whose sum is σ = 8560974240. Its totient is φ = 1258912512.

The previous prime is 3461667557. The next prime is 3461667577. The reversal of 3461667560 is 657661643.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449099 + ... + 456741.

It is an arithmetic number, because the mean of its divisors is an integer number (89176815).

Almost surely, 2^3461667560 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 3461667560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280487120).

3461667560 is an abundant number, since it is smaller than the sum of its proper divisors (5099306680).

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

3461667560 is a wasteful number, since it uses less digits than its factorization.

3461667560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7730 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The square root of 3461667560 is about 58835.9376571836. The cubic root of 3461667560 is about 1512.7312758831.

The spelling of 3461667560 in words is "three billion, four hundred sixty-one million, six hundred sixty-seven thousand, five hundred sixty".