3431963136 has 120 divisors (see below), whose sum is σ = 10635926400. Its totient is φ = 980539392.

The previous prime is 3431963107. The next prime is 3431963137. The reversal of 3431963136 is 6313691343.

It is a junction number, because it is equal to n+sod(n) for n = 3431963094 and 3431963103.

It is not an unprimeable number, because it can be changed into a prime (3431963137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52465 + ... + 98063.

It is an arithmetic number, because the mean of its divisors is an integer number (88632720).

Almost surely, 2^3431963136 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 3431963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317963200).

3431963136 is an abundant number, since it is smaller than the sum of its proper divisors (7203963264).

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

3431963136 is an equidigital number, since it uses as much as digits as its factorization.

3431963136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45634 (or 45611 counting only the distinct ones).

The product of its digits is 104976, while the sum is 39.

The square root of 3431963136 is about 58582.9594336100. The cubic root of 3431963136 is about 1508.3919457201.

The spelling of 3431963136 in words is "three billion, four hundred thirty-one million, nine hundred sixty-three thousand, one hundred thirty-six".