38273664 has 256 divisors, whose sum is σ = 129548160. Its totient is φ = 9830400.

The previous prime is 38273659. The next prime is 38273671. The reversal of 38273664 is 46637283.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933484 + ... + 933524.

Almost surely, 2^38273664 is an apocalyptic number.

38273664 is a gapful number since it is divisible by the number (34) 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 38273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

38273664 is an abundant number, since it is smaller than the sum of its proper divisors (91274496).

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

38273664 is a wasteful number, since it uses less digits than its factorization.

38273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 38273664 is about 6186.5712636322. The cubic root of 38273664 is about 337.0026738305.

The spelling of 38273664 in words is "thirty-eight million, two hundred seventy-three thousand, six hundred sixty-four".