38362880 has 144 divisors (see below), whose sum is σ = 101987424. Its totient is φ = 13762560.

The previous prime is 38362871. The next prime is 38362889. The reversal of 38362880 is 8826383.

It is an interprime number because it is at equal distance from previous prime (38362871) and next prime (38362889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38362889) 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, 892139 + ... + 892181.

It is an arithmetic number, because the mean of its divisors is an integer number (708246).

Almost surely, 2^38362880 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 38362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50993712).

38362880 is an abundant number, since it is smaller than the sum of its proper divisors (63624544).

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

38362880 is a wasteful number, since it uses less digits than its factorization.

38362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 38362880 is about 6193.7775226432. Note that the first 3 decimals coincide. The cubic root of 38362880 is about 337.2643219743.

The spelling of 38362880 in words is "thirty-eight million, three hundred sixty-two thousand, eight hundred eighty".