3855533746064 has 640 divisors, whose sum is σ = 10460858462208. Its totient is φ = 1328723066880.

The previous prime is 3855533746063. The next prime is 3855533746133. The reversal of 3855533746064 is 4606473355583.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3855533745994 and 3855533746012.

It is not an unprimeable number, because it can be changed into a prime (3855533746063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6501742952 + ... + 6501743544.

Almost surely, 2^{3855533746064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3855533746064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230429231104).

3855533746064 is an abundant number, since it is smaller than the sum of its proper divisors (6605324716144).

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

3855533746064 is a wasteful number, since it uses less digits than its factorization.

3855533746064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 59.

The spelling of 3855533746064 in words is "three trillion, eight hundred fifty-five billion, five hundred thirty-three million, seven hundred forty-six thousand, sixty-four".