38064180 has 216 divisors, whose sum is σ = 137549664. Its totient is φ = 7835520.

The previous prime is 38064137. The next prime is 38064181. The reversal of 38064180 is 8146083.

38064180 = T₁₇₅ + T₁₇₆ + ... + T₆₁₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38064181) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355687 + ... + 355793.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 2^38064180 is an apocalyptic number.

38064180 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 38064180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68774832).

38064180 is an abundant number, since it is smaller than the sum of its proper divisors (99485484).

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

38064180 is a wasteful number, since it uses less digits than its factorization.

38064180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 38064180 is about 6169.6174921951. The cubic root of 38064180 is about 336.3867075394.

The spelling of 38064180 in words is "thirty-eight million, sixty-four thousand, one hundred eighty".