38316240 has 180 divisors, whose sum is σ = 135451524. Its totient is φ = 10077696.

The previous prime is 38316211. The next prime is 38316259. The reversal of 38316240 is 4261383.

It is a happy number.

38316240 is a `hidden beast` number, since 3 + 8 + 31 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17740944 + 20575296 = 4212^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524844 + ... + 524916.

Almost surely, 2^38316240 is an apocalyptic number.

38316240 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 38316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67725762).

38316240 is an abundant number, since it is smaller than the sum of its proper divisors (97135284).

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

38316240 is an frugal number, since it uses more digits than its factorization.

38316240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38316240 is about 6190.0113085519. The cubic root of 38316240 is about 337.1275892184.

The spelling of 38316240 in words is "thirty-eight million, three hundred sixteen thousand, two hundred forty".