3438641024 has 256 divisors, whose sum is σ = 8883302400. Its totient is φ = 1289502720.

The previous prime is 3438641023. The next prime is 3438641027. The reversal of 3438641024 is 4201468343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438641023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32136779 + ... + 32136885.

It is an arithmetic number, because the mean of its divisors is an integer number (34700400).

Almost surely, 2^3438641024 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 3438641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441651200).

3438641024 is an abundant number, since it is smaller than the sum of its proper divisors (5444661376).

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

3438641024 is a wasteful number, since it uses less digits than its factorization.

3438641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 3438641024 is about 58639.9268758071. The cubic root of 3438641024 is about 1509.3696510828.

The spelling of 3438641024 in words is "three billion, four hundred thirty-eight million, six hundred forty-one thousand, twenty-four".