3544007040 has 512 divisors, whose sum is σ = 14558745600. Its totient is φ = 798031872.

The previous prime is 3544007029. The next prime is 3544007041. The reversal of 3544007040 is 407004453.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3544006995 and 3544007013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3544007041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10039504 + ... + 10039856.

It is an arithmetic number, because the mean of its divisors is an integer number (28435050).

Almost surely, 2^3544007040 is an apocalyptic number.

3544007040 is a gapful number since it is divisible by the number (30) 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 3544007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279372800).

3544007040 is an abundant number, since it is smaller than the sum of its proper divisors (11014738560).

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

3544007040 is a wasteful number, since it uses less digits than its factorization.

3544007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3544007040 is about 59531.5633928759. The cubic root of 3544007040 is about 1524.6313956390.

The spelling of 3544007040 in words is "three billion, five hundred forty-four million, seven thousand, forty".