38957472 has 144 divisors (see below), whose sum is σ = 119999880. Its totient is φ = 11943936.

The previous prime is 38957453. The next prime is 38957473. The reversal of 38957472 is 27475983.

38957472 is a `hidden beast` number, since 3 + 8 + 9 + 574 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 467856 = 6204^2 + 684^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38957473) 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, 357354 + ... + 357462.

Almost surely, 2^38957472 is an apocalyptic number.

38957472 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 38957472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59999940).

38957472 is an abundant number, since it is smaller than the sum of its proper divisors (81042408).

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

38957472 is a wasteful number, since it uses less digits than its factorization.

38957472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 38957472 is about 6241.5921045836. The cubic root of 38957472 is about 338.9978332803.

The spelling of 38957472 in words is "thirty-eight million, nine hundred fifty-seven thousand, four hundred seventy-two".