3461505660240 has 160 divisors (see below), whose sum is σ = 10777977593856. Its totient is φ = 919002769920.

The previous prime is 3461505660191. The next prime is 3461505660271. The reversal of 3461505660240 is 420665051643.

It is a junction number, because it is equal to n+sod(n) for n = 3461505660192 and 3461505660201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110254945 + ... + 110286335.

Almost surely, 2^{3461505660240} is an apocalyptic number.

3461505660240 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 3461505660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388988796928).

3461505660240 is an abundant number, since it is smaller than the sum of its proper divisors (7316471933616).

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

3461505660240 is a wasteful number, since it uses less digits than its factorization.

3461505660240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33417 (or 33411 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 3461505660240 in words is "three trillion, four hundred sixty-one billion, five hundred five million, six hundred sixty thousand, two hundred forty".