38267240 has 64 divisors (see below), whose sum is σ = 97200000. Its totient is φ = 13431040.

The previous prime is 38267231. The next prime is 38267249. The reversal of 38267240 is 4276283.

38267240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38267231) and next prime (38267249).

It is a junction number, because it is equal to n+sod(n) for n = 38267197 and 38267206.

It is not an unprimeable number, because it can be changed into a prime (38267249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11261 + ... + 14259.

It is an arithmetic number, because the mean of its divisors is an integer number (1518750).

Almost surely, 2^38267240 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 38267240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600000).

38267240 is an abundant number, since it is smaller than the sum of its proper divisors (58932760).

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

38267240 is a wasteful number, since it uses less digits than its factorization.

38267240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38267240 is about 6186.0520528040. The cubic root of 38267240 is about 336.9838181642.

The spelling of 38267240 in words is "thirty-eight million, two hundred sixty-seven thousand, two hundred forty".