3835864452300 has 144 divisors (see below), whose sum is σ = 11146208097024. Its totient is φ = 1018501280000.

The previous prime is 3835864452271. The next prime is 3835864452313. The reversal of 3835864452300 is 32544685383.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87773455 + ... + 87817145.

It is an arithmetic number, because the mean of its divisors is an integer number (77404222896).

Almost surely, 2^{3835864452300} is an apocalyptic number.

3835864452300 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 3835864452300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573104048512).

3835864452300 is an abundant number, since it is smaller than the sum of its proper divisors (7310343644724).

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

3835864452300 is a wasteful number, since it uses less digits than its factorization.

3835864452300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44960 (or 44953 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 3835864452300 in words is "three trillion, eight hundred thirty-five billion, eight hundred sixty-four million, four hundred fifty-two thousand, three hundred".