38553984 has 144 divisors (see below), whose sum is σ = 129245220. Its totient is φ = 10999296.

The previous prime is 38553979. The next prime is 38553997. The reversal of 38553984 is 48935583.

It is a happy number.

38553984 is a `hidden beast` number, since 3 + 8 + 553 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56107 + ... + 56789.

Almost surely, 2^38553984 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 38553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64622610).

38553984 is an abundant number, since it is smaller than the sum of its proper divisors (90691236).

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

38553984 is a wasteful number, since it uses less digits than its factorization.

38553984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 695 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 38553984 is about 6209.1854538256. The cubic root of 38553984 is about 337.8234200147.

The spelling of 38553984 in words is "thirty-eight million, five hundred fifty-three thousand, nine hundred eighty-four".