38532948 has 72 divisors (see below), whose sum is σ = 98200704. Its totient is φ = 11750400.

The previous prime is 38532941. The next prime is 38532953. The reversal of 38532948 is 84923583.

38532948 = T₃₉₂ + T₃₉₃ + ... + T₆₆₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38532941) 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, 142053 + ... + 142323.

Almost surely, 2^38532948 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 38532948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49100352).

38532948 is an abundant number, since it is smaller than the sum of its proper divisors (59667756).

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

38532948 is a wasteful number, since it uses less digits than its factorization.

38532948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 38532948 is about 6207.4912807027. The cubic root of 38532948 is about 337.7619672533.

It can be divided in two parts, 385 and 32948, that added together give a palindrome (33333).

The spelling of 38532948 in words is "thirty-eight million, five hundred thirty-two thousand, nine hundred forty-eight".