3476369664 has 432 divisors, whose sum is σ = 11249521920. Its totient is φ = 1068318720.

The previous prime is 3476369653. The next prime is 3476369671. The reversal of 3476369664 is 4669636743.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3476369664.

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 47 ways as a sum of consecutive naturals, for example, 73965289 + ... + 73965335.

It is an arithmetic number, because the mean of its divisors is an integer number (26040560).

Almost surely, 2^3476369664 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 3476369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624760960).

3476369664 is an abundant number, since it is smaller than the sum of its proper divisors (7773152256).

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

3476369664 is an equidigital number, since it uses as much as digits as its factorization.

3476369664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 54.

The square root of 3476369664 is about 58960.7468066679. The cubic root of 3476369664 is about 1514.8698329494.

The spelling of 3476369664 in words is "three billion, four hundred seventy-six million, three hundred sixty-nine thousand, six hundred sixty-four".