3406848000 has 224 divisors, whose sum is σ = 11347521120. Its totient is φ = 907673600.

The previous prime is 3406847971. The next prime is 3406848017. The reversal of 3406848000 is 8486043.

It is a super-2 number, since 2×3406848000² = 23213226590208000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071446 + ... + 3072554.

Almost surely, 2^3406848000 is an apocalyptic number.

3406848000 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 3406848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673760560).

3406848000 is an abundant number, since it is smaller than the sum of its proper divisors (7940673120).

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

3406848000 is an equidigital number, since it uses as much as digits as its factorization.

3406848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3406848000 is about 58368.2105259361. The cubic root of 3406848000 is about 1504.7034584594.

The spelling of 3406848000 in words is "three billion, four hundred six million, eight hundred forty-eight thousand".