38262000 has 160 divisors (see below), whose sum is σ = 141133824. Its totient is φ = 8736000.

The previous prime is 38261987. The next prime is 38262011. The reversal of 38262000 is 26283.

38262000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41545 + ... + 42455.

Almost surely, 2^38262000 is an apocalyptic number.

38262000 is a gapful number since it is divisible by the number (30) 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 38262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70566912).

38262000 is an abundant number, since it is smaller than the sum of its proper divisors (102871824).

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

38262000 is a wasteful number, since it uses less digits than its factorization.

38262000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 38262000 is about 6185.6285048490. The cubic root of 38262000 is about 336.9684362012.

Adding to 38262000 its reverse (26283), we get a palindrome (38288283).

The spelling of 38262000 in words is "thirty-eight million, two hundred sixty-two thousand".