38016240 has 160 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 9461760.

The previous prime is 38016227. The next prime is 38016247. The reversal of 38016240 is 4261083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38016240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38016247) 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, 391872 + ... + 391968.

Almost surely, 2^38016240 is an apocalyptic number.

38016240 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 38016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

38016240 is an abundant number, since it is smaller than the sum of its proper divisors (87975696).

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

38016240 is a wasteful number, since it uses less digits than its factorization.

38016240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38016240 is about 6165.7311002021. The cubic root of 38016240 is about 336.2454272628.

The spelling of 38016240 in words is "thirty-eight million, sixteen thousand, two hundred forty".