38711040 has 144 divisors (see below), whose sum is σ = 131126688. Its totient is φ = 9699328.

The previous prime is 38711009. The next prime is 38711053. The reversal of 38711040 is 4011783.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38711040.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64984 + ... + 65576.

It is an arithmetic number, because the mean of its divisors is an integer number (910602).

Almost surely, 2^38711040 is an apocalyptic number.

38711040 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 38711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65563344).

38711040 is an abundant number, since it is smaller than the sum of its proper divisors (92415648).

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

38711040 is a wasteful number, since it uses less digits than its factorization.

38711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 38711040 is about 6221.8196695179. The cubic root of 38711040 is about 338.2815249577.

The spelling of 38711040 in words is "thirty-eight million, seven hundred eleven thousand, forty".