3428634336 has 96 divisors (see below), whose sum is σ = 9157494528. Its totient is φ = 1123077120.

The previous prime is 3428634331. The next prime is 3428634347. The reversal of 3428634336 is 6334368243.

It is a happy number.

3428634336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428634331) 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, 1353391 + ... + 1355921.

It is an arithmetic number, because the mean of its divisors is an integer number (95390568).

Almost surely, 2^3428634336 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 3428634336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578747264).

3428634336 is an abundant number, since it is smaller than the sum of its proper divisors (5728860192).

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

3428634336 is a wasteful number, since it uses less digits than its factorization.

3428634336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2776 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The square root of 3428634336 is about 58554.5415488841. The cubic root of 3428634336 is about 1507.9041044870.

The spelling of 3428634336 in words is "three billion, four hundred twenty-eight million, six hundred thirty-four thousand, three hundred thirty-six".