38753364 has 96 divisors (see below), whose sum is σ = 102340224. Its totient is φ = 11335680.

The previous prime is 38753357. The next prime is 38753401. The reversal of 38753364 is 46335783.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466867 + ... + 466949.

It is an arithmetic number, because the mean of its divisors is an integer number (1066044).

Almost surely, 2^38753364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38753364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51170112).

38753364 is an abundant number, since it is smaller than the sum of its proper divisors (63586860).

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

38753364 is a wasteful number, since it uses less digits than its factorization.

38753364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 38753364 is about 6225.2199961126. The cubic root of 38753364 is about 338.4047646720.

The spelling of 38753364 in words is "thirty-eight million, seven hundred fifty-three thousand, three hundred sixty-four".