38276352 has 108 divisors (see below), whose sum is σ = 113595300. Its totient is φ = 12386304.

The previous prime is 38276327. The next prime is 38276353. The reversal of 38276352 is 25367283.

38276352 is a `hidden beast` number, since 38 + 276 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29419776 + 8856576 = 5424^2 + 2976^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38276353) 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, 85024 + ... + 85472.

Almost surely, 2^38276352 is an apocalyptic number.

38276352 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 38276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56797650).

38276352 is an abundant number, since it is smaller than the sum of its proper divisors (75318948).

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

38276352 is a wasteful number, since it uses less digits than its factorization.

38276352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 491 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 38276352 is about 6186.7885045474. The cubic root of 38276352 is about 337.0105629975.

The spelling of 38276352 in words is "thirty-eight million, two hundred seventy-six thousand, three hundred fifty-two".