3851400 has 144 divisors (see below), whose sum is σ = 13994640. Its totient is φ = 873600.

The previous prime is 3851399. The next prime is 3851413. The reversal of 3851400 is 41583.

3851400 = 256² + 257² + ... + 304².

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 29335 + ... + 29465.

It is an arithmetic number, because the mean of its divisors is an integer number (97185).

Almost surely, 2^3851400 is an apocalyptic number.

3851400 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 3851400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997320).

3851400 is an abundant number, since it is smaller than the sum of its proper divisors (10143240).

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

3851400 is a wasteful number, since it uses less digits than its factorization.

3851400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3851400 is about 1962.4984076427. The cubic root of 3851400 is about 156.7495160607.

Adding to 3851400 its reverse (41583), we get a palindrome (3892983).

The spelling of 3851400 in words is "three million, eight hundred fifty-one thousand, four hundred".