38244960 has 240 divisors, whose sum is σ = 145995696. Its totient is φ = 9372672.

The previous prime is 38244953. The next prime is 38244971. The reversal of 38244960 is 6944283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168367 + ... + 168593.

Almost surely, 2^38244960 is an apocalyptic number.

38244960 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 38244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997848).

38244960 is an abundant number, since it is smaller than the sum of its proper divisors (107750736).

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

38244960 is a wasteful number, since it uses less digits than its factorization.

38244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38244960 is about 6184.2509651533. The cubic root of 38244960 is about 336.9184057554.

It can be divided in two parts, 38244 and 960, that added together give a square (39204 = 198²).

The spelling of 38244960 in words is "thirty-eight million, two hundred forty-four thousand, nine hundred sixty".