3496434816 has 128 divisors (see below), whose sum is σ = 10641945600. Its totient is φ = 996369408.

The previous prime is 3496434811. The next prime is 3496434839. The reversal of 3496434816 is 6184346943.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3496434811) 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 15 ways as a sum of consecutive naturals, for example, 1178551 + ... + 1181513.

It is an arithmetic number, because the mean of its divisors is an integer number (83140200).

Almost surely, 2^3496434816 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 3496434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320972800).

3496434816 is an abundant number, since it is smaller than the sum of its proper divisors (7145510784).

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

3496434816 is a wasteful number, since it uses less digits than its factorization.

3496434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3414 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 3496434816 is about 59130.6588497033. The cubic root of 3496434816 is about 1517.7787870629.

The spelling of 3496434816 in words is "three billion, four hundred ninety-six million, four hundred thirty-four thousand, eight hundred sixteen".