38813280 has 96 divisors (see below), whose sum is σ = 133394688. Its totient is φ = 9408000.

The previous prime is 38813273. The next prime is 38813303. The reversal of 38813280 is 8231883.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605 + ... + 8955.

It is an arithmetic number, because the mean of its divisors is an integer number (1389528).

Almost surely, 2^38813280 is an apocalyptic number.

38813280 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 38813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66697344).

38813280 is an abundant number, since it is smaller than the sum of its proper divisors (94581408).

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

38813280 is a wasteful number, since it uses less digits than its factorization.

38813280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7380 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 38813280 is about 6230.0304975176. The cubic root of 38813280 is about 338.5790757283.

It can be divided in two parts, 38813 and 280, that added together give a palindrome (39093).

The spelling of 38813280 in words is "thirty-eight million, eight hundred thirteen thousand, two hundred eighty".