3834440202816 has 784 divisors, whose sum is σ = 12583279337328. Its totient is φ = 1153784217600.

The previous prime is 3834440202763. The next prime is 3834440202881. The reversal of 3834440202816 is 6182020444383.

It is a happy number.

3834440202816 is a `hidden beast` number, since 3 + 8 + 344 + 4 + 0 + 20 + 281 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 435726729216 + 3398713473600 = 660096^2 + 1843560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1983672186 + ... + 1983674118.

Almost surely, 2^{3834440202816} is an apocalyptic number.

3834440202816 is a gapful number since it is divisible by the number (36) 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 3834440202816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291639668664).

3834440202816 is an abundant number, since it is smaller than the sum of its proper divisors (8748839134512).

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

3834440202816 is a wasteful number, since it uses less digits than its factorization.

3834440202816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3834440202816 in words is "three trillion, eight hundred thirty-four billion, four hundred forty million, two hundred two thousand, eight hundred sixteen".