3461237058160 has 160 divisors (see below), whose sum is σ = 9226710738432. Its totient is φ = 1182880005120.

The previous prime is 3461237058157. The next prime is 3461237058163. The reversal of 3461237058160 is 618507321643.

It is an interprime number because it is at equal distance from previous prime (3461237058157) and next prime (3461237058163).

It is a self number, because there is not a number n which added to its sum of digits gives 3461237058160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461237058163) 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, 528672007 + ... + 528678553.

Almost surely, 2^{3461237058160} 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 3461237058160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613355369216).

3461237058160 is an abundant number, since it is smaller than the sum of its proper divisors (5765473680272).

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

3461237058160 is a wasteful number, since it uses less digits than its factorization.

3461237058160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 3461237058160 in words is "three trillion, four hundred sixty-one billion, two hundred thirty-seven million, fifty-eight thousand, one hundred sixty".