3504541040 has 320 divisors, whose sum is σ = 11069291520. Its totient is φ = 996433920.

The previous prime is 3504541039. The next prime is 3504541057. The reversal of 3504541040 is 401454053.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8568356 + ... + 8568764.

It is an arithmetic number, because the mean of its divisors is an integer number (34591536).

Almost surely, 2^3504541040 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 3504541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534645760).

3504541040 is an abundant number, since it is smaller than the sum of its proper divisors (7564750480).

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

3504541040 is a wasteful number, since it uses less digits than its factorization.

3504541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 3504541040 is about 59199.1641832889. The cubic root of 3504541040 is about 1518.9508341614.

Adding to 3504541040 its reverse (401454053), we get a palindrome (3905995093).

The spelling of 3504541040 in words is "three billion, five hundred four million, five hundred forty-one thousand, forty".