3461795781696 has 1344 divisors, whose sum is σ = 12674608128000. Its totient is φ = 899826278400.

The previous prime is 3461795781667. The next prime is 3461795781707. The reversal of 3461795781696 is 6961875971643.

3461795781696 is a `hidden beast` number, since 3 + 46 + 1 + 7 + 9 + 578 + 1 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12774154041 + ... + 12774154311.

It is an arithmetic number, because the mean of its divisors is an integer number (9430512000).

Almost surely, 2^{3461795781696} is an apocalyptic number.

3461795781696 is a gapful number since it is divisible by the number (36) 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 3461795781696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337304064000).

3461795781696 is an abundant number, since it is smaller than the sum of its proper divisors (9212812346304).

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

3461795781696 is a wasteful number, since it uses less digits than its factorization.

3461795781696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 426 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 3461795781696 in words is "three trillion, four hundred sixty-one billion, seven hundred ninety-five million, seven hundred eighty-one thousand, six hundred ninety-six".