38312077860 has 288 divisors, whose sum is σ = 135940896000. Its totient is φ = 8730247680.

The previous prime is 38312077823. The next prime is 38312077913. The reversal of 38312077860 is 6877021383.

38312077860 is a `hidden beast` number, since 383 + 1 + 207 + 7 + 8 + 60 = 666.

38312077860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25868320 + ... + 25869800.

It is an arithmetic number, because the mean of its divisors is an integer number (472017000).

Almost surely, 2^38312077860 is an apocalyptic number.

38312077860 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 38312077860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970448000).

38312077860 is an abundant number, since it is smaller than the sum of its proper divisors (97628818140).

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

38312077860 is a wasteful number, since it uses less digits than its factorization.

38312077860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 38312077860 in words is "thirty-eight billion, three hundred twelve million, seventy-seven thousand, eight hundred sixty".