3511342464 has 128 divisors (see below), whose sum is σ = 10681831680. Its totient is φ = 1001134080.

The previous prime is 3511342433. The next prime is 3511342477. The reversal of 3511342464 is 4642431153.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 1646679 + ... + 1648809.

It is an arithmetic number, because the mean of its divisors is an integer number (83451810).

Almost surely, 2^3511342464 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 3511342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340915840).

3511342464 is an abundant number, since it is smaller than the sum of its proper divisors (7170489216).

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

3511342464 is a wasteful number, since it uses less digits than its factorization.

3511342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2756 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 3511342464 is about 59256.5816091344. The cubic root of 3511342464 is about 1519.9328317503.

It can be divided in two parts, 35113 and 42464, that added together give a palindrome (77577).

The spelling of 3511342464 in words is "three billion, five hundred eleven million, three hundred forty-two thousand, four hundred sixty-four".