3719838522456 has 640 divisors, whose sum is σ = 12556721295360. Its totient is φ = 1005903360000.

The previous prime is 3719838522431. The next prime is 3719838522527. The reversal of 3719838522456 is 6542258389173.

3719838522456 is a `hidden beast` number, since 3 + 7 + 1 + 9 + 8 + 385 + 2 + 245 + 6 = 666.

3719838522456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3719838522393 and 3719838522402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4953180081 + ... + 4953180831.

It is an arithmetic number, because the mean of its divisors is an integer number (19619877024).

Almost surely, 2^{3719838522456} is an apocalyptic number.

3719838522456 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 3719838522456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278360647680).

3719838522456 is an abundant number, since it is smaller than the sum of its proper divisors (8836882772904).

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

3719838522456 is a wasteful number, since it uses less digits than its factorization.

3719838522456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1224 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 3719838522456 in words is "three trillion, seven hundred nineteen billion, eight hundred thirty-eight million, five hundred twenty-two thousand, four hundred fifty-six".