38251880 has 48 divisors (see below), whose sum is σ = 87841260. Its totient is φ = 14991360.

The previous prime is 38251877. The next prime is 38251891. The reversal of 38251880 is 8815283.

38251880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6959044 + 31292836 = 2638^2 + 5594^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38251880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148712 + ... + 148968.

Almost surely, 2^38251880 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 38251880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43920630).

38251880 is an abundant number, since it is smaller than the sum of its proper divisors (49589380).

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

38251880 is a wasteful number, since it uses less digits than its factorization.

38251880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 38251880 is about 6184.8104255506. The cubic root of 38251880 is about 336.9387250755.

The spelling of 38251880 in words is "thirty-eight million, two hundred fifty-one thousand, eight hundred eighty".