3875335833600 has 2304 divisors, whose sum is σ = 18133839360000. Its totient is φ = 804180787200.

The previous prime is 3875335833599. The next prime is 3875335833653. The reversal of 3875335833600 is 63385335783.

3875335833600 is a `hidden beast` number, since 3 + 8 + 7 + 53 + 3 + 583 + 3 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5215794829 + ... + 5215795571.

It is an arithmetic number, because the mean of its divisors is an integer number (7870590000).

Almost surely, 2^{3875335833600} is an apocalyptic number.

3875335833600 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 3875335833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066919680000).

3875335833600 is an abundant number, since it is smaller than the sum of its proper divisors (14258503526400).

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

3875335833600 is a wasteful number, since it uses less digits than its factorization.

3875335833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 3875335833600 in words is "three trillion, eight hundred seventy-five billion, three hundred thirty-five million, eight hundred thirty-three thousand, six hundred".