3434247936 has 144 divisors (see below), whose sum is σ = 11606649600. Its totient is φ = 981199872.

The previous prime is 3434247931. The next prime is 3434247937. The reversal of 3434247936 is 6397424343.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3434247891 and 3434247900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434247931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12895 + ... + 83873.

Almost surely, 2^3434247936 is an apocalyptic number.

3434247936 is a gapful number since it is divisible by the number (36) 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 3434247936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803324800).

3434247936 is an abundant number, since it is smaller than the sum of its proper divisors (8172401664).

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

3434247936 is an equidigital number, since it uses as much as digits as its factorization.

3434247936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71011 (or 70991 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 3434247936 is about 58602.4567403108. The cubic root of 3434247936 is about 1508.7266044627.

The spelling of 3434247936 in words is "three billion, four hundred thirty-four million, two hundred forty-seven thousand, nine hundred thirty-six".