38480400 has 240 divisors, whose sum is σ = 156835200. Its totient is φ = 8778240.

The previous prime is 38480389. The next prime is 38480411. The reversal of 38480400 is 408483.

It is an interprime number because it is at equal distance from previous prime (38480389) and next prime (38480411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75346 + ... + 75854.

It is an arithmetic number, because the mean of its divisors is an integer number (653480).

Almost surely, 2^38480400 is an apocalyptic number.

38480400 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 38480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78417600).

38480400 is an abundant number, since it is smaller than the sum of its proper divisors (118354800).

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

38480400 is a wasteful number, since it uses less digits than its factorization.

38480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38480400 is about 6203.2572089186. The cubic root of 38480400 is about 337.6083602670.

Adding to 38480400 its reverse (408483), we get a palindrome (38888883).

The spelling of 38480400 in words is "thirty-eight million, four hundred eighty thousand, four hundred".