38890152 has 192 divisors, whose sum is σ = 132624000. Its totient is φ = 10340352.

The previous prime is 38890141. The next prime is 38890157. The reversal of 38890152 is 25109883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38890157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436924 + ... + 437012.

It is an arithmetic number, because the mean of its divisors is an integer number (690750).

Almost surely, 2^38890152 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 38890152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66312000).

38890152 is an abundant number, since it is smaller than the sum of its proper divisors (93733848).

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

38890152 is a wasteful number, since it uses less digits than its factorization.

38890152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 38890152 is about 6236.1969179942. The cubic root of 38890152 is about 338.8024536268.

The spelling of 38890152 in words is "thirty-eight million, eight hundred ninety thousand, one hundred fifty-two".