3428032608 has 864 divisors, whose sum is σ = 14054197248. Its totient is φ = 769443840.

The previous prime is 3428032603. The next prime is 3428032651. The reversal of 3428032608 is 8062308243.

3428032608 is a `hidden beast` number, since 3 + 42 + 8 + 0 + 3 + 2 + 608 = 666.

It is a super-2 number, since 2×3428032608² = 23502815123022563328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428032603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72936841 + ... + 72936887.

It is an arithmetic number, because the mean of its divisors is an integer number (16266432).

Almost surely, 2^3428032608 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 3428032608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027098624).

3428032608 is an abundant number, since it is smaller than the sum of its proper divisors (10626164640).

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

3428032608 is a wasteful number, since it uses less digits than its factorization.

3428032608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3428032608 is about 58549.4031395709. The cubic root of 3428032608 is about 1507.8158865439.

The spelling of 3428032608 in words is "three billion, four hundred twenty-eight million, thirty-two thousand, six hundred eight".