38787540 has 96 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 8847360.

The previous prime is 38787509. The next prime is 38787563. The reversal of 38787540 is 4578783.

It is a junction number, because it is equal to n+sod(n) for n = 38787492 and 38787501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9492 + ... + 12948.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^38787540 is an apocalyptic number.

38787540 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 38787540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

38787540 is an abundant number, since it is smaller than the sum of its proper divisors (86696364).

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

38787540 is a wasteful number, since it uses less digits than its factorization.

38787540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 38787540 is about 6227.9643544259. The cubic root of 38787540 is about 338.5042134419.

The spelling of 38787540 in words is "thirty-eight million, seven hundred eighty-seven thousand, five hundred forty".