38913280 has 144 divisors (see below), whose sum is σ = 110081664. Its totient is φ = 12902400.

The previous prime is 38913269. The next prime is 38913293. The reversal of 38913280 is 8231983.

38913280 = T₁₁₂ + T₁₁₃ + ... + T₆₁₆.

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, 385230 + ... + 385330.

It is an arithmetic number, because the mean of its divisors is an integer number (764456).

Almost surely, 2^38913280 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 38913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55040832).

38913280 is an abundant number, since it is smaller than the sum of its proper divisors (71168384).

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

38913280 is a wasteful number, since it uses less digits than its factorization.

38913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 38913280 is about 6238.0509776692. The cubic root of 38913280 is about 338.8696023344.

It can be divided in two parts, 38913 and 280, that added together give a palindrome (39193).

The spelling of 38913280 in words is "thirty-eight million, nine hundred thirteen thousand, two hundred eighty".