38511072 has 144 divisors (see below), whose sum is σ = 118525680. Its totient is φ = 12160512.

The previous prime is 38511071. The next prime is 38511073. The reversal of 38511072 is 27011583.

It is an interprime number because it is at equal distance from previous prime (38511071) and next prime (38511073).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38511071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726598 + ... + 726650.

It is an arithmetic number, because the mean of its divisors is an integer number (823095).

Almost surely, 2^38511072 is an apocalyptic number.

38511072 is a gapful number since it is divisible by the number (32) 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 38511072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59262840).

38511072 is an abundant number, since it is smaller than the sum of its proper divisors (80014608).

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

38511072 is a wasteful number, since it uses less digits than its factorization.

38511072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 38511072 is about 6205.7289660442. The cubic root of 38511072 is about 337.6980368604.

The spelling of 38511072 in words is "thirty-eight million, five hundred eleven thousand, seventy-two".