3855505516900 has 36 divisors (see below), whose sum is σ = 8654945149620. Its totient is φ = 1489022819200.

The previous prime is 3855505516897. The next prime is 3855505516903. The reversal of 3855505516900 is 96155055583.

It is an interprime number because it is at equal distance from previous prime (3855505516897) and next prime (3855505516903).

It can be written as a sum of positive squares in 6 ways, for example, as 6783499044 + 3848722017856 = 82362^2 + 1961816^2 .

It is a super-2 number, since 2×3855505516900² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3855505516903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664739431 + ... + 664745230.

It is an arithmetic number, because the mean of its divisors is an integer number (240415143045).

Almost surely, 2^{3855505516900} is an apocalyptic number.

It is an amenable number.

3855505516900 is an abundant number, since it is smaller than the sum of its proper divisors (4799439632720).

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

3855505516900 is a wasteful number, since it uses less digits than its factorization.

3855505516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329484704 (or 1329484697 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 52.

The spelling of 3855505516900 in words is "three trillion, eight hundred fifty-five billion, five hundred five million, five hundred sixteen thousand, nine hundred".