38013000 has 64 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 10136000.

The previous prime is 38012993. The next prime is 38013007. The reversal of 38013000 is 31083.

It is an interprime number because it is at equal distance from previous prime (38012993) and next prime (38013007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (38013007) 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, 3336 + ... + 9335.

It is an arithmetic number, because the mean of its divisors is an integer number (1853280).

Almost surely, 2^38013000 is an apocalyptic number.

38013000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38013000 is an abundant number, since it is smaller than the sum of its proper divisors (80596920).

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

38013000 is a wasteful number, since it uses less digits than its factorization.

38013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12695 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 38013000 is about 6165.4683520394. The cubic root of 38013000 is about 336.2358746249.

Adding to 38013000 its reverse (31083), we get a palindrome (38044083).

The spelling of 38013000 in words is "thirty-eight million, thirteen thousand".