3411735264 has 144 divisors (see below), whose sum is σ = 11324371968. Its totient is φ = 954014976.

The previous prime is 3411735251. The next prime is 3411735269. The reversal of 3411735264 is 4625371143.

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

It is a super-2 number, since 2×3411735264² = 23279875023242299392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411735269) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76749 + ... + 112755.

It is an arithmetic number, because the mean of its divisors is an integer number (78641472).

Almost surely, 2^3411735264 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 3411735264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662185984).

3411735264 is an abundant number, since it is smaller than the sum of its proper divisors (7912636704).

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

3411735264 is a wasteful number, since it uses less digits than its factorization.

3411735264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36077 (or 36066 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3411735264 is about 58410.0613250834. The cubic root of 3411735264 is about 1505.4226344015.

The spelling of 3411735264 in words is "three billion, four hundred eleven million, seven hundred thirty-five thousand, two hundred sixty-four".