3438403584 has 448 divisors, whose sum is σ = 12078858240. Its totient is φ = 843448320.

The previous prime is 3438403559. The next prime is 3438403597. The reversal of 3438403584 is 4853048343.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43524057 + ... + 43524135.

Almost surely, 2^3438403584 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 3438403584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039429120).

3438403584 is an abundant number, since it is smaller than the sum of its proper divisors (8640454656).

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

3438403584 is a wasteful number, since it uses less digits than its factorization.

3438403584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 3438403584 is about 58637.9022817154. The cubic root of 3438403584 is about 1509.3349093561.

The spelling of 3438403584 in words is "three billion, four hundred thirty-eight million, four hundred three thousand, five hundred eighty-four".