38405400 has 216 divisors, whose sum is σ = 136801140. Its totient is φ = 8905600.

The previous prime is 38405333. The next prime is 38405447. The reversal of 38405400 is 450483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1669789 + ... + 1669811.

Almost surely, 2^38405400 is an apocalyptic number.

38405400 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 38405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400570).

38405400 is an abundant number, since it is smaller than the sum of its proper divisors (98395740).

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

38405400 is a wasteful number, since it uses less digits than its factorization.

38405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 38405400 is about 6197.2090492414. The cubic root of 38405400 is about 337.3888797419.

Multiplying 38405400 by its sum of digits (24), we get a square (921729600 = 30360²).

38405400 divided by its sum of digits (24) gives a square (1600225 = 1265²).

Adding to 38405400 its reverse (450483), we get a palindrome (38855883).

The spelling of 38405400 in words is "thirty-eight million, four hundred five thousand, four hundred".