38467673045406 has 192 divisors, whose sum is σ = 92856692260800. Its totient is φ = 11412072038400.

The previous prime is 38467673045401. The next prime is 38467673045411. The reversal of 38467673045406 is 60454037676483.

38467673045406 is a `hidden beast` number, since 3 + 8 + 46 + 76 + 73 + 0 + 454 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38467673045401) and next prime (38467673045411).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38467673045401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 939108766 + ... + 939149726.

It is an arithmetic number, because the mean of its divisors is an integer number (483628605525).

Almost surely, 2^{38467673045406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38467673045406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46428346130400).

38467673045406 is an abundant number, since it is smaller than the sum of its proper divisors (54389019215394).

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

38467673045406 is a wasteful number, since it uses less digits than its factorization.

38467673045406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41595 (or 41592 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 38467673045406 in words is "thirty-eight trillion, four hundred sixty-seven billion, six hundred seventy-three million, forty-five thousand, four hundred six".