38025936 has 200 divisors, whose sum is σ = 123722984. Its totient is φ = 11197440.

The previous prime is 38025929. The next prime is 38025943. The reversal of 38025936 is 63952083.

It is an interprime number because it is at equal distance from previous prime (38025929) and next prime (38025943).

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 37454400 = 756^2 + 6120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38025936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 623346 + ... + 623406.

Almost surely, 2^38025936 is an apocalyptic number.

38025936 is a gapful number since it is divisible by the number (36) 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 38025936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61861492).

38025936 is an abundant number, since it is smaller than the sum of its proper divisors (85697048).

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

38025936 is a wasteful number, since it uses less digits than its factorization.

38025936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 38025936 is about 6166.5173315251. The cubic root of 38025936 is about 336.2740111744.

The spelling of 38025936 in words is "thirty-eight million, twenty-five thousand, nine hundred thirty-six".