38477088 has 144 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 11515392.

The previous prime is 38477083. The next prime is 38477111. The reversal of 38477088 is 88077483.

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

It is not an unprimeable number, because it can be changed into a prime (38477083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160873 + ... + 161111.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^38477088 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 38477088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

38477088 is an abundant number, since it is smaller than the sum of its proper divisors (82603872).

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

38477088 is a wasteful number, since it uses less digits than its factorization.

38477088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 38477088 is about 6202.9902466472. The cubic root of 38477088 is about 337.5986740288.

The spelling of 38477088 in words is "thirty-eight million, four hundred seventy-seven thousand, eighty-eight".