3874917346560 has 1728 divisors, whose sum is σ = 16279308165120. Its totient is φ = 873937797120.

The previous prime is 3874917346501. The next prime is 3874917346603. The reversal of 3874917346560 is 656437194783.

It is a happy number.

3874917346560 is a `hidden beast` number, since 3 + 8 + 7 + 49 + 1 + 73 + 465 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3874917346560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2381632467 + ... + 2381634093.

Almost surely, 2^{3874917346560} is an apocalyptic number.

3874917346560 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 3874917346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139654082560).

3874917346560 is an abundant number, since it is smaller than the sum of its proper divisors (12404390818560).

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

3874917346560 is a wasteful number, since it uses less digits than its factorization.

3874917346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3874917346560 in words is "three trillion, eight hundred seventy-four billion, nine hundred seventeen million, three hundred forty-six thousand, five hundred sixty".