38135680 has 64 divisors (see below), whose sum is σ = 99474480. Its totient is φ = 13864960.

The previous prime is 38135677. The next prime is 38135683. The reversal of 38135680 is 8653183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38135677) and next prime (38135683).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×38135680⁴ (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38135683) 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 7 ways as a sum of consecutive naturals, for example, 4332 + ... + 9748.

Almost surely, 2^38135680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49737240).

38135680 is an abundant number, since it is smaller than the sum of its proper divisors (61338800).

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

38135680 is a wasteful number, since it uses less digits than its factorization.

38135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 38135680 is about 6175.4092981761. The cubic root of 38135680 is about 336.5971994480.

The spelling of 38135680 in words is "thirty-eight million, one hundred thirty-five thousand, six hundred eighty".