38187720 has 128 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 9642240.

The previous prime is 38187713. The next prime is 38187767. The reversal of 38187720 is 2778183.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19590 + ... + 21450.

It is an arithmetic number, because the mean of its divisors is an integer number (1047375).

Almost surely, 2^38187720 is an apocalyptic number.

38187720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38187720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032000).

38187720 is an abundant number, since it is smaller than the sum of its proper divisors (95876280).

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

38187720 is a wasteful number, since it uses less digits than its factorization.

38187720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 38187720 is about 6179.6213476232. The cubic root of 38187720 is about 336.7502368538.

The spelling of 38187720 in words is "thirty-eight million, one hundred eighty-seven thousand, seven hundred twenty".