3544506400 has 72 divisors (see below), whose sum is σ = 8661945600. Its totient is φ = 1416341760.

The previous prime is 3544506397. The next prime is 3544506401. The reversal of 3544506400 is 46054453.

It is not an unprimeable number, because it can be changed into a prime (3544506401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117617 + ... + 1120783.

It is an arithmetic number, because the mean of its divisors is an integer number (120304800).

Almost surely, 2^3544506400 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 3544506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330972800).

3544506400 is an abundant number, since it is smaller than the sum of its proper divisors (5117439200).

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

3544506400 is a wasteful number, since it uses less digits than its factorization.

3544506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 3544506400 is about 59535.7573228056. The cubic root of 3544506400 is about 1524.7030004796.

The spelling of 3544506400 in words is "three billion, five hundred forty-four million, five hundred six thousand, four hundred".