3438464064 has 168 divisors, whose sum is σ = 11205972000. Its totient is φ = 924585984.

The previous prime is 3438464063. The next prime is 3438464077. The reversal of 3438464064 is 4604648343.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3438464063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149187 + ... + 170685.

Almost surely, 2^3438464064 is an apocalyptic number.

3438464064 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 3438464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602986000).

3438464064 is an abundant number, since it is smaller than the sum of its proper divisors (7767507936).

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

3438464064 is a wasteful number, since it uses less digits than its factorization.

3438464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21545 (or 21528 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The square root of 3438464064 is about 58638.4179868455. The cubic root of 3438464064 is about 1509.3437588157.

The spelling of 3438464064 in words is "three billion, four hundred thirty-eight million, four hundred sixty-four thousand, sixty-four".