38225280 has 128 divisors (see below), whose sum is σ = 124945920. Its totient is φ = 9934848.

The previous prime is 38225227. The next prime is 38225303. The reversal of 38225280 is 8252283.

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

It is a super-2 number, since 2×38225280² = 2922344062156800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) 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 (30).

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, 82329 + ... + 82791.

It is an arithmetic number, because the mean of its divisors is an integer number (976140).

Almost surely, 2^38225280 is an apocalyptic number.

38225280 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 38225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62472960).

38225280 is an abundant number, since it is smaller than the sum of its proper divisors (86720640).

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

38225280 is a wasteful number, since it uses less digits than its factorization.

38225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38225280 is about 6182.6596218780. The cubic root of 38225280 is about 336.8606056177.

The spelling of 38225280 in words is "thirty-eight million, two hundred twenty-five thousand, two hundred eighty".