38561952 has 144 divisors (see below), whose sum is σ = 121207968. Its totient is φ = 10583040.

The previous prime is 38561947. The next prime is 38561981. The reversal of 38561952 is 25916583.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 38561952.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727558 + ... + 727610.

It is an arithmetic number, because the mean of its divisors is an integer number (841722).

Almost surely, 2^38561952 is an apocalyptic number.

38561952 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 38561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60603984).

38561952 is an abundant number, since it is smaller than the sum of its proper divisors (82646016).

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

38561952 is a wasteful number, since it uses less digits than its factorization.

38561952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 82 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 38561952 is about 6209.8270507318. The cubic root of 38561952 is about 337.8466912076.

The spelling of 38561952 in words is "thirty-eight million, five hundred sixty-one thousand, nine hundred fifty-two".