38401352766292 has 24 divisors (see below), whose sum is σ = 69627808202400. Its totient is φ = 18509752667616.

The previous prime is 38401352766241. The next prime is 38401352766313. The reversal of 38401352766292 is 29266725310483.

It is a happy number.

38401352766292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257348542 + ... + 257497717.

It is an arithmetic number, because the mean of its divisors is an integer number (2901158675100).

It is a 1-persistent number, because it is pandigital, but 2⋅38401352766292 = 76802705532584 is not.

Almost surely, 2^{38401352766292} is an apocalyptic number.

It is an amenable number.

38401352766292 is a deficient number, since it is larger than the sum of its proper divisors (31226455436108).

38401352766292 is a wasteful number, since it uses less digits than its factorization.

38401352766292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514846935 (or 514846933 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 38401352766292 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-two million, seven hundred sixty-six thousand, two hundred ninety-two".