38412240 has 80 divisors (see below), whose sum is σ = 123206400. Its totient is φ = 9888256.

The previous prime is 38412229. The next prime is 38412247. The reversal of 38412240 is 4221483.

It is a tau number, because it is divible by the number of its divisors (80).

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 38412240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38412247) 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, 4201 + ... + 9719.

It is an arithmetic number, because the mean of its divisors is an integer number (1540080).

Almost surely, 2^38412240 is an apocalyptic number.

38412240 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 38412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603200).

38412240 is an abundant number, since it is smaller than the sum of its proper divisors (84794160).

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

38412240 is a wasteful number, since it uses less digits than its factorization.

38412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 38412240 is about 6197.7608859975. The cubic root of 38412240 is about 337.4089082010.

The spelling of 38412240 in words is "thirty-eight million, four hundred twelve thousand, two hundred forty".