38152000 has 112 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 14400000.

The previous prime is 38151989. The next prime is 38152013. The reversal of 38152000 is 25183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151875 + ... + 152125.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^38152000 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 38152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

38152000 is an abundant number, since it is smaller than the sum of its proper divisors (61700480).

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

38152000 is a wasteful number, since it uses less digits than its factorization.

38152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 38152000 is about 6176.7305267431. The cubic root of 38152000 is about 336.6452077076.

Adding to 38152000 its reverse (25183), we get a palindrome (38177183).

The spelling of 38152000 in words is "thirty-eight million, one hundred fifty-two thousand".