38493312 has 128 divisors (see below), whose sum is σ = 120294720. Its totient is φ = 10752000.

The previous prime is 38493307. The next prime is 38493313. The reversal of 38493312 is 21339483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (38493313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54562 + ... + 55262.

Almost surely, 2^38493312 is an apocalyptic number.

38493312 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 38493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

38493312 is an abundant number, since it is smaller than the sum of its proper divisors (81801408).

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

38493312 is a wasteful number, since it uses less digits than its factorization.

38493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 730 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 38493312 is about 6204.2978651899. The cubic root of 38493312 is about 337.6461172521.

It can be divided in two parts, 384 and 93312, that multiplied together give a 7-th power (35831808 = 12⁷).

The spelling of 38493312 in words is "thirty-eight million, four hundred ninety-three thousand, three hundred twelve".