3430632040 has 64 divisors (see below), whose sum is σ = 8432424000. Its totient is φ = 1245757440.

The previous prime is 3430632017. The next prime is 3430632097. The reversal of 3430632040 is 402360343.

3430632040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3430631996 and 3430632014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333291 + ... + 343429.

It is an arithmetic number, because the mean of its divisors is an integer number (131756625).

Almost surely, 2^3430632040 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 3430632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216212000).

3430632040 is an abundant number, since it is smaller than the sum of its proper divisors (5001791960).

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

3430632040 is a wasteful number, since it uses less digits than its factorization.

3430632040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10930 (or 10926 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 3430632040 is about 58571.5975537632. The cubic root of 3430632040 is about 1508.1969092313.

Adding to 3430632040 its reverse (402360343), we get a palindrome (3832992383).

The spelling of 3430632040 in words is "three billion, four hundred thirty million, six hundred thirty-two thousand, forty".