38007552 has 108 divisors (see below), whose sum is σ = 111459320. Its totient is φ = 11489280.

The previous prime is 38007527. The next prime is 38007583. The reversal of 38007552 is 25570083.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92724 + ... + 93132.

Almost surely, 2^38007552 is an apocalyptic number.

38007552 is a gapful number since it is divisible by the number (32) 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 38007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55729660).

38007552 is an abundant number, since it is smaller than the sum of its proper divisors (73451768).

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

38007552 is a wasteful number, since it uses less digits than its factorization.

38007552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 38007552 is about 6165.0265206242. The cubic root of 38007552 is about 336.2198108172.

The spelling of 38007552 in words is "thirty-eight million, seven thousand, five hundred fifty-two".