38241952 has 72 divisors (see below), whose sum is σ = 90708660. Its totient is φ = 15824256.

The previous prime is 38241901. The next prime is 38241953. The reversal of 38241952 is 25914283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 4648336 = 5796^2 + 2156^2 .

It is a super-3 number, since 3×38241952³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38241953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1318674 + ... + 1318702.

Almost surely, 2^38241952 is an apocalyptic number.

38241952 is a gapful number since it is divisible by the number (32) 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 38241952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354330).

38241952 is an abundant number, since it is smaller than the sum of its proper divisors (52466708).

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

38241952 is an frugal number, since it uses more digits than its factorization.

38241952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 38 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 38241952 is about 6184.0077619615. The cubic root of 38241952 is about 336.9095725467.

It can be divided in two parts, 38241 and 952, that added together give a palindrome (39193).

The spelling of 38241952 in words is "thirty-eight million, two hundred forty-one thousand, nine hundred fifty-two".