3873256276352 has 64 divisors (see below), whose sum is σ = 7773284413440. Its totient is φ = 1922357813760.

The previous prime is 3873256276349. The next prime is 3873256276361. The reversal of 3873256276352 is 2536726523783.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3873256276352² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3873256276291 and 3873256276300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11247593 + ... + 11586839.

It is an arithmetic number, because the mean of its divisors is an integer number (121457568960).

Almost surely, 2^{3873256276352} is an apocalyptic number.

3873256276352 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 3873256276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886642206720).

3873256276352 is an abundant number, since it is smaller than the sum of its proper divisors (3900028137088).

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

3873256276352 is a wasteful number, since it uses less digits than its factorization.

3873256276352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339919 (or 339907 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 59.

The spelling of 3873256276352 in words is "three trillion, eight hundred seventy-three billion, two hundred fifty-six million, two hundred seventy-six thousand, three hundred fifty-two".