38007816 has 128 divisors (see below), whose sum is σ = 120130560. Its totient is φ = 9734400.

The previous prime is 38007811. The next prime is 38007833. The reversal of 38007816 is 61870083.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38007811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242010 + ... + 242166.

It is an arithmetic number, because the mean of its divisors is an integer number (938520).

Almost surely, 2^38007816 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 38007816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60065280).

38007816 is an abundant number, since it is smaller than the sum of its proper divisors (82122744).

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

38007816 is a wasteful number, since it uses less digits than its factorization.

38007816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 38007816 is about 6165.0479316871. The cubic root of 38007816 is about 336.2205892750.

Adding to 38007816 its reverse (61870083), we get a palindrome (99877899).

The spelling of 38007816 in words is "thirty-eight million, seven thousand, eight hundred sixteen".