3918779945472 has 240 divisors, whose sum is σ = 12251842697952. Its totient is φ = 1109740584960.

The previous prime is 3918779945441. The next prime is 3918779945473. The reversal of 3918779945472 is 2745499778193.

It is a super-2 number, since 2×3918779945472² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3918779945394 and 3918779945403.

It is not an unprimeable number, because it can be changed into a prime (3918779945473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8274447 + ... + 8735217.

Almost surely, 2^{3918779945472} is an apocalyptic number.

3918779945472 is a gapful number since it is divisible by the number (32) 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 3918779945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125921348976).

3918779945472 is an abundant number, since it is smaller than the sum of its proper divisors (8333062752480).

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

3918779945472 is a wasteful number, since it uses less digits than its factorization.

3918779945472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460919 (or 460896 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 75.

The spelling of 3918779945472 in words is "three trillion, nine hundred eighteen billion, seven hundred seventy-nine million, nine hundred forty-five thousand, four hundred seventy-two".