38378025 has 81 divisors (see below), whose sum is σ = 81340311. Its totient is φ = 17246880.

The previous prime is 38377987. The next prime is 38378029. The reversal of 38378025 is 52087383.

The square root of 38378025 is 6195.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13816089 + 24561936 = 3717^2 + 4956^2 .

It is not a de Polignac number, because 38378025 - 2¹¹ = 38375977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38378029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 650446 + ... + 650504.

Almost surely, 2^38378025 is an apocalyptic number.

38378025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38378025 is the 6195-th square number.

38378025 is the 3098-th centered octagonal number.

It is an amenable number.

38378025 is an abundant number, since it is smaller than the sum of its proper divisors (42962286).

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

38378025 is a wasteful number, since it uses less digits than its factorization.

38378025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 38378025 is about 337.3086981711.

Multiplying 38378025 by its sum of digits (36), we get a square (1381608900 = 37170²).

The spelling of 38378025 in words is "thirty-eight million, three hundred seventy-eight thousand, twenty-five".