3461342656320 has 896 divisors, whose sum is σ = 13308592128000. Its totient is φ = 843659919360.

The previous prime is 3461342656319. The next prime is 3461342656403. The reversal of 3461342656320 is 236562431643.

3461342656320 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 3 + 4 + 2 + 6 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 2081383809 + ... + 2081385471.

Almost surely, 2^{3461342656320} is an apocalyptic number.

3461342656320 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 3461342656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654296064000).

3461342656320 is an abundant number, since it is smaller than the sum of its proper divisors (9847249471680).

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

3461342656320 is a wasteful number, since it uses less digits than its factorization.

3461342656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 3461342656320 in words is "three trillion, four hundred sixty-one billion, three hundred forty-two million, six hundred fifty-six thousand, three hundred twenty".