3436683264 has 168 divisors, whose sum is σ = 11347521120. Its totient is φ = 981762048.

The previous prime is 3436683259. The next prime is 3436683277. The reversal of 3436683264 is 4623866343.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 512767 + ... + 519425.

Almost surely, 2^3436683264 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 3436683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673760560).

3436683264 is an abundant number, since it is smaller than the sum of its proper divisors (7910837856).

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

3436683264 is an equidigital number, since it uses as much as digits as its factorization.

3436683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698 (or 6671 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 3436683264 is about 58623.2314360101. The cubic root of 3436683264 is about 1509.0831479281.

The spelling of 3436683264 in words is "three billion, four hundred thirty-six million, six hundred eighty-three thousand, two hundred sixty-four".