3435769824 has 96 divisors (see below), whose sum is σ = 9295969536. Its totient is φ = 1110420480.

The previous prime is 3435769807. The next prime is 3435769837. The reversal of 3435769824 is 4289675343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654699 + ... + 659925.

It is an arithmetic number, because the mean of its divisors is an integer number (96833016).

Almost surely, 2^3435769824 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 3435769824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647984768).

3435769824 is an abundant number, since it is smaller than the sum of its proper divisors (5860199712).

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

3435769824 is a wasteful number, since it uses less digits than its factorization.

3435769824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5440 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 3435769824 is about 58615.4401501857. The cubic root of 3435769824 is about 1508.9494357653.

The spelling of 3435769824 in words is "three billion, four hundred thirty-five million, seven hundred sixty-nine thousand, eight hundred twenty-four".