38649312 has 240 divisors, whose sum is σ = 129773952. Its totient is φ = 11197440.

The previous prime is 38649301. The next prime is 38649319. The reversal of 38649312 is 21394683.

38649312 is a `hidden beast` number, since 3 + 8 + 649 + 3 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38649319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1044558 + ... + 1044594.

Almost surely, 2^38649312 is an apocalyptic number.

38649312 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 38649312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64886976).

38649312 is an abundant number, since it is smaller than the sum of its proper divisors (91124640).

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

38649312 is a wasteful number, since it uses less digits than its factorization.

38649312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 38649312 is about 6216.8570837683. The cubic root of 38649312 is about 338.1016232132.

The spelling of 38649312 in words is "thirty-eight million, six hundred forty-nine thousand, three hundred twelve".