3500807040 has 160 divisors (see below), whose sum is σ = 12502199160. Its totient is φ = 933534720.

The previous prime is 3500807033. The next prime is 3500807041. The reversal of 3500807040 is 407080053.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 3500806995 and 3500807013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3500807041) 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 19 ways as a sum of consecutive naturals, for example, 18075 + ... + 85605.

Almost surely, 2^3500807040 is an apocalyptic number.

3500807040 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 3500807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251099580).

3500807040 is an abundant number, since it is smaller than the sum of its proper divisors (9001392120).

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

3500807040 is an equidigital number, since it uses as much as digits as its factorization.

3500807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67562 (or 67541 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3500807040 is about 59167.6181707528. The cubic root of 3500807040 is about 1518.4111745297.

Adding to 3500807040 its reverse (407080053), we get a palindrome (3907887093).

The spelling of 3500807040 in words is "three billion, five hundred million, eight hundred seven thousand, forty".