3461391360000 has 2240 divisors, whose sum is σ = 15149425632000. Its totient is φ = 780337152000.

The previous prime is 3461391359947. The next prime is 3461391360019. The reversal of 3461391360000 is 631931643.

3461391360000 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 39 + 13 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47416319964 + ... + 47416320036.

Almost surely, 2^{3461391360000} is an apocalyptic number.

3461391360000 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 3461391360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574712816000).

3461391360000 is an abundant number, since it is smaller than the sum of its proper divisors (11688034272000).

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

3461391360000 is an frugal number, since it uses more digits than its factorization.

3461391360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 3461391360000 in words is "three trillion, four hundred sixty-one billion, three hundred ninety-one million, three hundred sixty thousand".