38342766 has 64 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 9874560.

The previous prime is 38342761. The next prime is 38342789. The reversal of 38342766 is 66724383.

It is a super-3 number, since 3×38342766³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38342761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68560 + ... + 69116.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 2^38342766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38342766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

38342766 is an abundant number, since it is smaller than the sum of its proper divisors (58079634).

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

38342766 is a wasteful number, since it uses less digits than its factorization.

38342766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729.

The product of its digits is 145152, while the sum is 39.

The square root of 38342766 is about 6192.1535833666. The cubic root of 38342766 is about 337.2053681062.

The spelling of 38342766 in words is "thirty-eight million, three hundred forty-two thousand, seven hundred sixty-six".