38998080 has 168 divisors, whose sum is σ = 146450304. Its totient is φ = 9446400.

The previous prime is 38998073. The next prime is 38998081. The reversal of 38998080 is 8089983.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38998081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31065 + ... + 32295.

It is an arithmetic number, because the mean of its divisors is an integer number (871728).

Almost surely, 2^38998080 is an apocalyptic number.

38998080 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 38998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73225152).

38998080 is an abundant number, since it is smaller than the sum of its proper divisors (107452224).

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

38998080 is a wasteful number, since it uses less digits than its factorization.

38998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 38998080 is about 6244.8442734787. The cubic root of 38998080 is about 339.1155791452.

The spelling of 38998080 in words is "thirty-eight million, nine hundred ninety-eight thousand, eighty".