3504413640 has 256 divisors, whose sum is σ = 12998361600. Its totient is φ = 736026624.

The previous prime is 3504413639. The next prime is 3504413659. The reversal of 3504413640 is 463144053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3504413598 and 3504413607.

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, 2936884 + ... + 2938076.

It is an arithmetic number, because the mean of its divisors is an integer number (50774850).

Almost surely, 2^3504413640 is an apocalyptic number.

3504413640 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 3504413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499180800).

3504413640 is an abundant number, since it is smaller than the sum of its proper divisors (9493947960).

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

3504413640 is a wasteful number, since it uses less digits than its factorization.

3504413640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3504413640 is about 59198.0881448041. The cubic root of 3504413640 is about 1518.9324278823.

Adding to 3504413640 its reverse (463144053), we get a palindrome (3967557693).

It can be divided in two parts, 3504413 and 640, that added together give a palindrome (3505053).

The spelling of 3504413640 in words is "three billion, five hundred four million, four hundred thirteen thousand, six hundred forty".