38087840 has 96 divisors (see below), whose sum is σ = 106251264. Its totient is φ = 12625920.

The previous prime is 38087831. The next prime is 38087843. The reversal of 38087840 is 4878083.

It is a junction number, because it is equal to n+sod(n) for n = 38087794 and 38087803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38087843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34172 + ... + 35268.

It is an arithmetic number, because the mean of its divisors is an integer number (1106784).

Almost surely, 2^38087840 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 38087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53125632).

38087840 is an abundant number, since it is smaller than the sum of its proper divisors (68163424).

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

38087840 is a wasteful number, since it uses less digits than its factorization.

38087840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 38087840 is about 6171.5346551729. The cubic root of 38087840 is about 336.4563903841.

The spelling of 38087840 in words is "thirty-eight million, eighty-seven thousand, eight hundred forty".