38312810946 has 80 divisors (see below), whose sum is σ = 90420105600. Its totient is φ = 12091734432.

The previous prime is 38312810941. The next prime is 38312810959. The reversal of 38312810946 is 64901821383.

38312810946 is a `hidden beast` number, since 383 + 128 + 109 + 46 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38312810941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8582311 + ... + 8586773.

It is an arithmetic number, because the mean of its divisors is an integer number (1130251320).

Almost surely, 2^38312810946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38312810946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45210052800).

38312810946 is an abundant number, since it is smaller than the sum of its proper divisors (52107294654).

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

38312810946 is a wasteful number, since it uses less digits than its factorization.

38312810946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 38312810946 in words is "thirty-eight billion, three hundred twelve million, eight hundred ten thousand, nine hundred forty-six".