38546640 has 240 divisors, whose sum is σ = 146704896. Its totient is φ = 8985600.

The previous prime is 38546639. The next prime is 38546657. The reversal of 38546640 is 4664583.

38546640 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 38546595 and 38546604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245442 + ... + 245598.

Almost surely, 2^38546640 is an apocalyptic number.

38546640 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 38546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73352448).

38546640 is an abundant number, since it is smaller than the sum of its proper divisors (108158256).

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

38546640 is a wasteful number, since it uses less digits than its factorization.

38546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 38546640 is about 6208.5940437429. The cubic root of 38546640 is about 337.8019684250.

The spelling of 38546640 in words is "thirty-eight million, five hundred forty-six thousand, six hundred forty".