3305534400144 has 120 divisors (see below), whose sum is σ = 9519855725952. Its totient is φ = 1070168935680.

The previous prime is 3305534400137. The next prime is 3305534400211. The reversal of 3305534400144 is 4410044355033.

3305534400144 is a `hidden beast` number, since 3 + 30 + 55 + 34 + 400 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3305534400099 and 3305534400108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977539 + ... + 2750754.

Almost surely, 2^{3305534400144} is an apocalyptic number.

It is an amenable number.

3305534400144 is an abundant number, since it is smaller than the sum of its proper divisors (6214321325808).

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

3305534400144 is a wasteful number, since it uses less digits than its factorization.

3305534400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728485 (or 3728476 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3305534400144 its reverse (4410044355033), we get a palindrome (7715578755177).

The spelling of 3305534400144 in words is "three trillion, three hundred five billion, five hundred thirty-four million, four hundred thousand, one hundred forty-four".