3116820654000 has 320 divisors, whose sum is σ = 11306490624000. Its totient is φ = 820630137600.

The previous prime is 3116820653993. The next prime is 3116820654001. The reversal of 3116820654000 is 4560286113.

It is a happy number.

3116820654000 is a `hidden beast` number, since 3 + 116 + 82 + 0 + 65 + 400 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3116820654001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3900691 + ... + 4631309.

It is an arithmetic number, because the mean of its divisors is an integer number (35332783200).

Almost surely, 2^{3116820654000} is an apocalyptic number.

3116820654000 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 3116820654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653245312000).

3116820654000 is an abundant number, since it is smaller than the sum of its proper divisors (8189669970000).

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

3116820654000 is a wasteful number, since it uses less digits than its factorization.

3116820654000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730730 (or 730708 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3116820654000 in words is "three trillion, one hundred sixteen billion, eight hundred twenty million, six hundred fifty-four thousand".