3413236064 has 96 divisors (see below), whose sum is σ = 8485295616. Its totient is φ = 1316874240.

The previous prime is 3413236061. The next prime is 3413236067. The reversal of 3413236064 is 4606323143.

3413236064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3413236061) and next prime (3413236067).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3413236064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413236061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68099 + ... + 107069.

It is an arithmetic number, because the mean of its divisors is an integer number (88388496).

Almost surely, 2^3413236064 is an apocalyptic number.

3413236064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413236064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242647808).

3413236064 is an abundant number, since it is smaller than the sum of its proper divisors (5072059552).

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

3413236064 is a wasteful number, since it uses less digits than its factorization.

3413236064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39028 (or 39020 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 3413236064 is about 58422.9070142868. The cubic root of 3413236064 is about 1505.6433438945.

The spelling of 3413236064 in words is "three billion, four hundred thirteen million, two hundred thirty-six thousand, sixty-four".