3520400040 has 48 divisors (see below), whose sum is σ = 11441301300. Its totient is φ = 938773248.

The previous prime is 3520400027. The next prime is 3520400053. The reversal of 3520400040 is 400040253.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3520400027) and next prime (3520400053).

It can be written as a sum of positive squares in 2 ways, for example, as 3494937924 + 25462116 = 59118^2 + 5046^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3520399986 and 3520400022.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4889085 + ... + 4889804.

Almost surely, 2^3520400040 is an apocalyptic number.

3520400040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3520400040 is an abundant number, since it is smaller than the sum of its proper divisors (7920901260).

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

3520400040 is a wasteful number, since it uses less digits than its factorization.

3520400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9778906 (or 9778899 counting only the distinct ones).

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

The square root of 3520400040 is about 59332.9591373968. The cubic root of 3520400040 is about 1521.2386083755.

Adding to 3520400040 its reverse (400040253), we get a palindrome (3920440293).

The spelling of 3520400040 in words is "three billion, five hundred twenty million, four hundred thousand, forty".