38948400 has 180 divisors, whose sum is σ = 139921600. Its totient is φ = 10022400.

The previous prime is 38948389. The next prime is 38948443. The reversal of 38948400 is 484983.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111426 + ... + 111774.

Almost surely, 2^38948400 is an apocalyptic number.

38948400 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 38948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69960800).

38948400 is an abundant number, since it is smaller than the sum of its proper divisors (100973200).

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

38948400 is a wasteful number, since it uses less digits than its factorization.

38948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38948400 is about 6240.8653246165. The cubic root of 38948400 is about 338.9715171726.

The spelling of 38948400 in words is "thirty-eight million, nine hundred forty-eight thousand, four hundred".