3403554657444 has 144 divisors (see below), whose sum is σ = 8954699120640. Its totient is φ = 1088812186560.

The previous prime is 3403554657443. The next prime is 3403554657497. The reversal of 3403554657444 is 4447564553043.

3403554657444 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 5 + 546 + 57 + 4 + 44 = 666.

It is a super-2 number, since 2×3403554657444² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3403554657443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518594107 + ... + 518600669.

It is an arithmetic number, because the mean of its divisors is an integer number (62185410560).

Almost surely, 2^{3403554657444} 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 3403554657444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477349560320).

3403554657444 is an abundant number, since it is smaller than the sum of its proper divisors (5551144463196).

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

3403554657444 is a wasteful number, since it uses less digits than its factorization.

3403554657444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10385 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 54.

The spelling of 3403554657444 in words is "three trillion, four hundred three billion, five hundred fifty-four million, six hundred fifty-seven thousand, four hundred forty-four".