38705760 has 72 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 10321152.

The previous prime is 38705759. The next prime is 38705761. The reversal of 38705760 is 6750783.

38705760 is a `hidden beast` number, since 3 + 87 + 0 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38705759) and next prime (38705761).

It is a tau number, because it is divible by the number of its divisors (72).

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 (38705761) 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 11 ways as a sum of consecutive naturals, for example, 12000 + ... + 14879.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^38705760 is an apocalyptic number.

38705760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38705760 is an abundant number, since it is smaller than the sum of its proper divisors (93382560).

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

38705760 is a wasteful number, since it uses less digits than its factorization.

38705760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26900 (or 26889 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 38705760 is about 6221.3953418827. The cubic root of 38705760 is about 338.2661442664.

The spelling of 38705760 in words is "thirty-eight million, seven hundred five thousand, seven hundred sixty".