3814034400 has 216 divisors, whose sum is σ = 14672201544. Its totient is φ = 924595200.

The previous prime is 3814034387. The next prime is 3814034447. The reversal of 3814034400 is 44304183.

3814034400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 55122 + ... + 103278.

It is an arithmetic number, because the mean of its divisors is an integer number (67926859).

Almost surely, 2^3814034400 is an apocalyptic number.

3814034400 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 3814034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336100772).

3814034400 is an abundant number, since it is smaller than the sum of its proper divisors (10858167144).

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

3814034400 is a wasteful number, since it uses less digits than its factorization.

3814034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48194 (or 48178 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3814034400 is about 61757.8691342245. The cubic root of 3814034400 is about 1562.4094915040.

Adding to 3814034400 its reverse (44304183), we get a palindrome (3858338583).

The spelling of 3814034400 in words is "three billion, eight hundred fourteen million, thirty-four thousand, four hundred".