38737152 has 216 divisors, whose sum is σ = 126270144. Its totient is φ = 11354112.

The previous prime is 38737151. The next prime is 38737157. The reversal of 38737152 is 25173783.

It is a super-2 number, since 2×38737152² = 3001133890142208, which contains 22 as substring.

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

Its product of digits (35280) is a multiple of the sum of its prime factors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38737151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900843 + ... + 900885.

It is an arithmetic number, because the mean of its divisors is an integer number (584584).

Almost surely, 2^38737152 is an apocalyptic number.

38737152 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 38737152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63135072).

38737152 is an abundant number, since it is smaller than the sum of its proper divisors (87532992).

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

38737152 is a wasteful number, since it uses less digits than its factorization.

38737152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 38737152 is about 6223.9177372456. The cubic root of 38737152 is about 338.3575689133.

It can be divided in two parts, 3873 and 7152, that added together give a square (11025 = 105²).

The spelling of 38737152 in words is "thirty-eight million, seven hundred thirty-seven thousand, one hundred fifty-two".