38211264 has 252 divisors, whose sum is σ = 139978384. Its totient is φ = 10077696.

The previous prime is 38211263. The next prime is 38211287. The reversal of 38211264 is 46211283.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38211263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2939322 + ... + 2939334.

Almost surely, 2^38211264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69989192).

38211264 is an abundant number, since it is smaller than the sum of its proper divisors (101767120).

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

38211264 is an frugal number, since it uses more digits than its factorization.

38211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 38211264 is about 6181.5260251818. The cubic root of 38211264 is about 336.8194285447.

The spelling of 38211264 in words is "thirty-eight million, two hundred eleven thousand, two hundred sixty-four".