38812135306740 has 96 divisors (see below), whose sum is σ = 109536278261760. Its totient is φ = 10267788819456.

The previous prime is 38812135306727. The next prime is 38812135306751. The reversal of 38812135306740 is 4760353121883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134035954 + ... + 134325206.

It is an arithmetic number, because the mean of its divisors is an integer number (1141002898560).

Almost surely, 2^{38812135306740} is an apocalyptic number.

38812135306740 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 38812135306740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54768139130880).

38812135306740 is an abundant number, since it is smaller than the sum of its proper divisors (70724142955020).

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

38812135306740 is a wasteful number, since it uses less digits than its factorization.

38812135306740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307001 (or 306999 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 38812135306740 in words is "thirty-eight trillion, eight hundred twelve billion, one hundred thirty-five million, three hundred six thousand, seven hundred forty".