38801952 has 144 divisors (see below), whose sum is σ = 132874560. Its totient is φ = 10492416.

The previous prime is 38801947. The next prime is 38801977. The reversal of 38801952 is 25910883.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 37798 + ... + 38810.

It is an arithmetic number, because the mean of its divisors is an integer number (922740).

Almost surely, 2^38801952 is an apocalyptic number.

38801952 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 38801952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66437280).

38801952 is an abundant number, since it is smaller than the sum of its proper divisors (94072608).

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

38801952 is a wasteful number, since it uses less digits than its factorization.

38801952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 38801952 is about 6229.1212863453. The cubic root of 38801952 is about 338.5461334212.

It can be divided in two parts, 3880 and 1952, that added together give a cube (5832 = 18³).

The spelling of 38801952 in words is "thirty-eight million, eight hundred one thousand, nine hundred fifty-two".