3520000440 has 192 divisors, whose sum is σ = 12667224960. Its totient is φ = 840533760.

The previous prime is 3520000417. The next prime is 3520000447. The reversal of 3520000440 is 440000253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3520000447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258687 + ... + 271953.

It is an arithmetic number, because the mean of its divisors is an integer number (65975130).

Almost surely, 2^3520000440 is an apocalyptic number.

3520000440 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 3520000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333612480).

3520000440 is an abundant number, since it is smaller than the sum of its proper divisors (9147224520).

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

3520000440 is a wasteful number, since it uses less digits than its factorization.

3520000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13362 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3520000440 is about 59329.5916048644. The cubic root of 3520000440 is about 1521.1810476871.

Adding to 3520000440 its reverse (440000253), we get a palindrome (3960000693).

The spelling of 3520000440 in words is "three billion, five hundred twenty million, four hundred forty", and thus it is an aban number.