38761140 has 144 divisors (see below), whose sum is σ = 126020160. Its totient is φ = 8870400.

The previous prime is 38761133. The next prime is 38761153. The reversal of 38761140 is 4116783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38761098 and 38761107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137800 + ... + 138080.

It is an arithmetic number, because the mean of its divisors is an integer number (875140).

Almost surely, 2^38761140 is an apocalyptic number.

38761140 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 38761140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63010080).

38761140 is an abundant number, since it is smaller than the sum of its proper divisors (87259020).

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

38761140 is a wasteful number, since it uses less digits than its factorization.

38761140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 38761140 is about 6225.8445210268. The cubic root of 38761140 is about 338.4273971972.

The spelling of 38761140 in words is "thirty-eight million, seven hundred sixty-one thousand, one hundred forty".