3855744138015 has 256 divisors, whose sum is σ = 8680255488000. Its totient is φ = 1577299046400.

The previous prime is 3855744138011. The next prime is 3855744138067. The reversal of 3855744138015 is 5108314475583.

3855744138015 is a `hidden beast` number, since 3 + 8 + 557 + 4 + 4 + 1 + 3 + 80 + 1 + 5 = 666.

It is not a de Polignac number, because 3855744138015 - 2² = 3855744138011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3855744138011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 504080911 + ... + 504088559.

It is an arithmetic number, because the mean of its divisors is an integer number (33907248000).

Almost surely, 2^{3855744138015} is an apocalyptic number.

3855744138015 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3855744138015 is an abundant number, since it is smaller than the sum of its proper divisors (4824511349985).

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

3855744138015 is a wasteful number, since it uses less digits than its factorization.

3855744138015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8435 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 3855744138015 in words is "three trillion, eight hundred fifty-five billion, seven hundred forty-four million, one hundred thirty-eight thousand, fifteen".