3412818000 has 480 divisors, whose sum is σ = 13307898240. Its totient is φ = 810086400.

The previous prime is 3412817959. The next prime is 3412818011. The reversal of 3412818000 is 8182143.

3412818000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3412818000² = 23294653402248000000, 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 95 ways as a sum of consecutive naturals, for example, 5813707 + ... + 5814293.

It is an arithmetic number, because the mean of its divisors is an integer number (27724788).

Almost surely, 2^3412818000 is an apocalyptic number.

3412818000 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 3412818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653949120).

3412818000 is an abundant number, since it is smaller than the sum of its proper divisors (9895080240).

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

3412818000 is a wasteful number, since it uses less digits than its factorization.

3412818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3412818000 is about 58419.3289930653. The cubic root of 3412818000 is about 1505.5818693908.

It can be divided in two parts, 341281 and 8000, that added together give a square (349281 = 591²).

The spelling of 3412818000 in words is "three billion, four hundred twelve million, eight hundred eighteen thousand".