38201280 has 112 divisors (see below), whose sum is σ = 130661664. Its totient is φ = 9400320.

The previous prime is 38201257. The next prime is 38201281. The reversal of 38201280 is 8210283.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38201280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38201281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10950 + ... + 14010.

It is an arithmetic number, because the mean of its divisors is an integer number (1166622).

Almost surely, 2^38201280 is an apocalyptic number.

38201280 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 38201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65330832).

38201280 is an abundant number, since it is smaller than the sum of its proper divisors (92460384).

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

38201280 is a wasteful number, since it uses less digits than its factorization.

38201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 38201280 is about 6180.7184048458. The cubic root of 38201280 is about 336.7900907897.

The spelling of 38201280 in words is "thirty-eight million, two hundred one thousand, two hundred eighty".