3806400 has 168 divisors, whose sum is σ = 13669264. Its totient is φ = 921600.

The previous prime is 3806347. The next prime is 3806423. The reversal of 3806400 is 46083.

It is a Cunningham number, because it is equal to 1951²-1.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62370 + ... + 62430.

Almost surely, 2^3806400 is an apocalyptic number.

3806400 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 3806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834632).

3806400 is an abundant number, since it is smaller than the sum of its proper divisors (9862864).

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

3806400 is a wasteful number, since it uses less digits than its factorization.

3806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3806400 is about 1950.9997437212. Note that the first 3 decimals coincide. The cubic root of 3806400 is about 156.1366324324.

The spelling of 3806400 in words is "three million, eight hundred six thousand, four hundred".