3800174400 has 504 divisors, whose sum is σ = 15247843520. Its totient is φ = 919987200.

The previous prime is 3800174381. The next prime is 3800174423. The reversal of 3800174400 is 44710083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5226837 + ... + 5227563.

Almost surely, 2^3800174400 is an apocalyptic number.

3800174400 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 3800174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623921760).

3800174400 is an abundant number, since it is smaller than the sum of its proper divisors (11447669120).

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

3800174400 is a wasteful number, since it uses less digits than its factorization.

3800174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3800174400 is about 61645.5545842521. The cubic root of 3800174400 is about 1560.5146231135.

Adding to 3800174400 its reverse (44710083), we get a palindrome (3844884483).

The spelling of 3800174400 in words is "three billion, eight hundred million, one hundred seventy-four thousand, four hundred".