3814443360 has 768 divisors, whose sum is σ = 17015685120. Its totient is φ = 776355840.

The previous prime is 3814443319. The next prime is 3814443371. The reversal of 3814443360 is 633444183.

It is a happy number.

3814443360 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12186564 + ... + 12186876.

It is an arithmetic number, because the mean of its divisors is an integer number (22155840).

Almost surely, 2^3814443360 is an apocalyptic number.

3814443360 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 3814443360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507842560).

3814443360 is an abundant number, since it is smaller than the sum of its proper divisors (13201241760).

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

3814443360 is a wasteful number, since it uses less digits than its factorization.

3814443360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3814443360 is about 61761.1800405400. The cubic root of 3814443360 is about 1562.4653326495.

The spelling of 3814443360 in words is "three billion, eight hundred fourteen million, four hundred forty-three thousand, three hundred sixty".