38635740 has 288 divisors, whose sum is σ = 146764800. Its totient is φ = 8087040.

The previous prime is 38635693. The next prime is 38635741. The reversal of 38635740 is 4753683.

It is a happy number.

38635740 is a `hidden beast` number, since 3 + 86 + 3 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38635695 and 38635704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38635741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489021 + ... + 489099.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 2^38635740 is an apocalyptic number.

38635740 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 38635740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73382400).

38635740 is an abundant number, since it is smaller than the sum of its proper divisors (108129060).

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

38635740 is a wasteful number, since it uses less digits than its factorization.

38635740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 38635740 is about 6215.7654395899. The cubic root of 38635740 is about 338.0620429273.

The spelling of 38635740 in words is "thirty-eight million, six hundred thirty-five thousand, seven hundred forty".