38646144 has 48 divisors (see below), whose sum is σ = 111211620. Its totient is φ = 12881664.

The previous prime is 38646143. The next prime is 38646163. The reversal of 38646144 is 44164683.

38646144 is a `hidden beast` number, since 3 + 8 + 646 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38646099 and 38646108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38646143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15622 + ... + 17925.

Almost surely, 2^38646144 is an apocalyptic number.

It is an amenable number.

38646144 is an abundant number, since it is smaller than the sum of its proper divisors (72565476).

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

38646144 is a wasteful number, since it uses less digits than its factorization.

38646144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33567 (or 33552 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38646144 is about 6216.6022874236. The cubic root of 38646144 is about 338.0923851426.

The spelling of 38646144 in words is "thirty-eight million, six hundred forty-six thousand, one hundred forty-four".