38513280 has 128 divisors (see below), whose sum is σ = 132289920. Its totient is φ = 9474048.

The previous prime is 38513273. The next prime is 38513291. The reversal of 38513280 is 8231583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 24189 + ... + 25731.

It is an arithmetic number, because the mean of its divisors is an integer number (1033515).

Almost surely, 2^38513280 is an apocalyptic number.

38513280 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 38513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66144960).

38513280 is an abundant number, since it is smaller than the sum of its proper divisors (93776640).

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

38513280 is a wasteful number, since it uses less digits than its factorization.

38513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38513280 is about 6205.9068636260. The cubic root of 38513280 is about 337.7044906150.

The spelling of 38513280 in words is "thirty-eight million, five hundred thirteen thousand, two hundred eighty".