3857618620800 has 1152 divisors, whose sum is σ = 16707477795840. Its totient is φ = 827343175680.

The previous prime is 3857618620769. The next prime is 3857618620811. The reversal of 3857618620800 is 80268167583.

3857618620800 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 6 + 1 + 8 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1257780867 + ... + 1257783933.

It is an arithmetic number, because the mean of its divisors is an integer number (14503018920).

Almost surely, 2^{3857618620800} is an apocalyptic number.

3857618620800 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 3857618620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353738897920).

3857618620800 is an abundant number, since it is smaller than the sum of its proper divisors (12849859175040).

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

3857618620800 is a wasteful number, since it uses less digits than its factorization.

3857618620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 3857618620800 in words is "three trillion, eight hundred fifty-seven billion, six hundred eighteen million, six hundred twenty thousand, eight hundred".