38002164 has 48 divisors (see below), whose sum is σ = 93222528. Its totient is φ = 12025728.

The previous prime is 38002127. The next prime is 38002169. The reversal of 38002164 is 46120083.

It is a happy number.

It is a super-3 number, since 3×38002164³ (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 (38002169) 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, 42894 + ... + 43770.

It is an arithmetic number, because the mean of its divisors is an integer number (1942136).

Almost surely, 2^38002164 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 38002164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46611264).

38002164 is an abundant number, since it is smaller than the sum of its proper divisors (55220364).

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

38002164 is a wasteful number, since it uses less digits than its factorization.

38002164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38002164 is about 6164.5895240478. The cubic root of 38002164 is about 336.2039224138.

The spelling of 38002164 in words is "thirty-eight million, two thousand, one hundred sixty-four".