3428208000 has 768 divisors, whose sum is σ = 14893632000. Its totient is φ = 738201600.

The previous prime is 3428207971. The next prime is 3428208041. The reversal of 3428208000 is 8028243.

It is a super-2 number, since 2×3428208000² = 23505220182528000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19151911 + ... + 19152089.

It is an arithmetic number, because the mean of its divisors is an integer number (19392750).

Almost surely, 2^3428208000 is an apocalyptic number.

3428208000 is a gapful number since it is divisible by the number (30) 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 3428208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446816000).

3428208000 is an abundant number, since it is smaller than the sum of its proper divisors (11465424000).

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

3428208000 is a wasteful number, since it uses less digits than its factorization.

3428208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3428208000 is about 58550.9009324366. The cubic root of 3428208000 is about 1507.8416014232.

The spelling of 3428208000 in words is "three billion, four hundred twenty-eight million, two hundred eight thousand".