3461607260160 has 1088 divisors, whose sum is σ = 13567698173952. Its totient is φ = 735647367168.

The previous prime is 3461607260141. The next prime is 3461607260171. The reversal of 3461607260160 is 610627061643.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14856683404 + ... + 14856683636.

Almost surely, 2^{3461607260160} is an apocalyptic number.

3461607260160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3461607260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783849086976).

3461607260160 is an abundant number, since it is smaller than the sum of its proper divisors (10106090913792).

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

3461607260160 is a wasteful number, since it uses less digits than its factorization.

3461607260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 3461607260160 in words is "three trillion, four hundred sixty-one billion, six hundred seven million, two hundred sixty thousand, one hundred sixty".