38460400 has 60 divisors (see below), whose sum is σ = 100812744. Its totient is φ = 13984000.

The previous prime is 38460397. The next prime is 38460407. The reversal of 38460400 is 406483.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38460407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 8770.

Almost surely, 2^38460400 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 38460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50406372).

38460400 is an abundant number, since it is smaller than the sum of its proper divisors (62352344).

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

38460400 is a wasteful number, since it uses less digits than its factorization.

38460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8770 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 38460400 is about 6201.6449430776. The cubic root of 38460400 is about 337.5498600319.

Adding to 38460400 its reverse (406483), we get a palindrome (38866883).

The spelling of 38460400 in words is "thirty-eight million, four hundred sixty thousand, four hundred".