38545152 has 72 divisors (see below), whose sum is σ = 105960960. Its totient is φ = 12426240.

The previous prime is 38545141. The next prime is 38545153. The reversal of 38545152 is 25154583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38545153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22999 + ... + 24617.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 2^38545152 is an apocalyptic number.

38545152 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 38545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52980480).

38545152 is an abundant number, since it is smaller than the sum of its proper divisors (67415808).

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

38545152 is a wasteful number, since it uses less digits than its factorization.

38545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1655 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 38545152 is about 6208.4742086925. The cubic root of 38545152 is about 337.7976216925.

The spelling of 38545152 in words is "thirty-eight million, five hundred forty-five thousand, one hundred fifty-two".