38733201 has 32 divisors (see below), whose sum is σ = 62267520. Its totient is φ = 23654592.

The previous prime is 38733199. The next prime is 38733271. The reversal of 38733201 is 10233783.

38733201 is a nontrivial binomial coefficient, being equal to C(8802, 2).

It is not a de Polignac number, because 38733201 - 2¹ = 38733199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38733271) 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 31 ways as a sum of consecutive naturals, for example, 56875 + ... + 57551.

It is an arithmetic number, because the mean of its divisors is an integer number (1945860).

Almost surely, 2^38733201 is an apocalyptic number.

38733201 is the 8801-st triangular number and also the 4401-st hexagonal number.

It is an amenable number.

38733201 is a deficient number, since it is larger than the sum of its proper divisors (23534319).

38733201 is a wasteful number, since it uses less digits than its factorization.

38733201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 38733201 is about 6223.6003245710. The cubic root of 38733201 is about 338.3460649165.

Adding to 38733201 its reverse (10233783), we get a palindrome (48966984).

The spelling of 38733201 in words is "thirty-eight million, seven hundred thirty-three thousand, two hundred one".