3856508874240 has 1280 divisors, whose sum is σ = 14373880012800. Its totient is φ = 872969011200.

The previous prime is 3856508874223. The next prime is 3856508874277. The reversal of 3856508874240 is 424788056583.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27744668091 + ... + 27744668229.

It is an arithmetic number, because the mean of its divisors is an integer number (11229593760).

Almost surely, 2^{3856508874240} is an apocalyptic number.

3856508874240 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 3856508874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186940006400).

3856508874240 is an abundant number, since it is smaller than the sum of its proper divisors (10517371138560).

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

3856508874240 is a wasteful number, since it uses less digits than its factorization.

3856508874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 60.

The spelling of 3856508874240 in words is "three trillion, eight hundred fifty-six billion, five hundred eight million, eight hundred seventy-four thousand, two hundred forty".