3914779681764 has 288 divisors, whose sum is σ = 11829863485440. Its totient is φ = 1068381425664.

The previous prime is 3914779681753. The next prime is 3914779681873. The reversal of 3914779681764 is 4671869774193.

3914779681764 is a `hidden beast` number, since 3 + 9 + 1 + 477 + 9 + 6 + 81 + 76 + 4 = 666.

It is a super-2 number, since 2×3914779681764² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3914779681692 and 3914779681701.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123373669 + ... + 123405395.

It is an arithmetic number, because the mean of its divisors is an integer number (41075914880).

Almost surely, 2^{3914779681764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3914779681764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914931742720).

3914779681764 is an abundant number, since it is smaller than the sum of its proper divisors (7915083803676).

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

3914779681764 is a wasteful number, since it uses less digits than its factorization.

3914779681764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32039 (or 32034 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 3914779681764 in words is "three trillion, nine hundred fourteen billion, seven hundred seventy-nine million, six hundred eighty-one thousand, seven hundred sixty-four".