38661408 has 96 divisors (see below), whose sum is σ = 116726400. Its totient is φ = 12434688.

The previous prime is 38661397. The next prime is 38661463. The reversal of 38661408 is 80416683.

It is a happy number.

38661408 is a `hidden beast` number, since 38 + 6 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24285 + ... + 25827.

It is an arithmetic number, because the mean of its divisors is an integer number (1215900).

Almost surely, 2^38661408 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 38661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58363200).

38661408 is an abundant number, since it is smaller than the sum of its proper divisors (78064992).

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

38661408 is a wasteful number, since it uses less digits than its factorization.

38661408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38661408 is about 6217.8298464979. The cubic root of 38661408 is about 338.1368912033.

The spelling of 38661408 in words is "thirty-eight million, six hundred sixty-one thousand, four hundred eight".