38611080 has 160 divisors (see below), whose sum is σ = 137606040. Its totient is φ = 9676800.

The previous prime is 38611073. The next prime is 38611081. The reversal of 38611080 is 8011683.

It can be written as a sum of positive squares in 4 ways, for example, as 38118276 + 492804 = 6174^2 + 702^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38611081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54730 + ... + 55430.

Almost surely, 2^38611080 is an apocalyptic number.

38611080 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 38611080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68803020).

38611080 is an abundant number, since it is smaller than the sum of its proper divisors (98994960).

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

38611080 is a wasteful number, since it uses less digits than its factorization.

38611080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 38611080 is about 6213.7814573736. The cubic root of 38611080 is about 337.9901027645.

The spelling of 38611080 in words is "thirty-eight million, six hundred eleven thousand, eighty".