38048400 has 240 divisors, whose sum is σ = 146379520. Its totient is φ = 9331200.

The previous prime is 38048399. The next prime is 38048401. The reversal of 38048400 is 484083.

It is an interprime number because it is at equal distance from previous prime (38048399) and next prime (38048401).

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 not an unprimeable number, because it can be changed into a prime (38048401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140265 + ... + 140535.

Almost surely, 2^38048400 is an apocalyptic number.

38048400 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 38048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73189760).

38048400 is an abundant number, since it is smaller than the sum of its proper divisors (108331120).

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

38048400 is a wasteful number, since it uses less digits than its factorization.

38048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

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

The square root of 38048400 is about 6168.3385121117. The cubic root of 38048400 is about 336.3402166221.

The spelling of 38048400 in words is "thirty-eight million, forty-eight thousand, four hundred".