38014164 has 48 divisors (see below), whose sum is σ = 100665600. Its totient is φ = 12400128.

The previous prime is 38014139. The next prime is 38014169. The reversal of 38014164 is 46141083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38014169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332 + ... + 8820.

It is an arithmetic number, because the mean of its divisors is an integer number (2097200).

Almost surely, 2^38014164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38014164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50332800).

38014164 is an abundant number, since it is smaller than the sum of its proper divisors (62651436).

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

38014164 is a wasteful number, since it uses less digits than its factorization.

38014164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7549 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38014164 is about 6165.5627480385. The cubic root of 38014164 is about 336.2393065610.

The spelling of 38014164 in words is "thirty-eight million, fourteen thousand, one hundred sixty-four".