38673360 has 240 divisors, whose sum is σ = 149722560. Its totient is φ = 8847360.

The previous prime is 38673347. The next prime is 38673367. The reversal of 38673360 is 6337683.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38673367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150352 + ... + 150608.

It is an arithmetic number, because the mean of its divisors is an integer number (623844).

Almost surely, 2^38673360 is an apocalyptic number.

38673360 is a gapful number since it is divisible by the number (30) 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 38673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74861280).

38673360 is an abundant number, since it is smaller than the sum of its proper divisors (111049200).

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

38673360 is a wasteful number, since it uses less digits than its factorization.

38673360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 38673360 is about 6218.7908792626. The cubic root of 38673360 is about 338.1717321118.

It can be divided in two parts, 3867 and 3360, that added together give a palindrome (7227).

The spelling of 38673360 in words is "thirty-eight million, six hundred seventy-three thousand, three hundred sixty".