3834552296448 has 220 divisors, whose sum is σ = 11516955079740. Its totient is φ = 1270790995968.

The previous prime is 3834552296401. The next prime is 3834552296459. The reversal of 3834552296448 is 8446922554383.

3834552296448 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 5 + 522 + 9 + 64 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1736828780544 + 2097723515904 = 1317888^2 + 1448352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14215698 + ... + 14482926.

It is an arithmetic number, because the mean of its divisors is an integer number (52349795817).

Almost surely, 2^{3834552296448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3834552296448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758477539870).

3834552296448 is an abundant number, since it is smaller than the sum of its proper divisors (7682402783292).

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

3834552296448 is a wasteful number, since it uses less digits than its factorization.

3834552296448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267434 (or 267407 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 3834552296448 in words is "three trillion, eight hundred thirty-four billion, five hundred fifty-two million, two hundred ninety-six thousand, four hundred forty-eight".