3234408000 has 448 divisors, whose sum is σ = 11582887680. Its totient is φ = 792576000.

The previous prime is 3234407963. The next prime is 3234408011. The reversal of 3234408000 is 8044323.

It is a super-2 number, since 2×3234408000² = 20922790220928000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18695914 + ... + 18696086.

It is an arithmetic number, because the mean of its divisors is an integer number (25854660).

Almost surely, 2^3234408000 is an apocalyptic number.

3234408000 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 3234408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791443840).

3234408000 is an abundant number, since it is smaller than the sum of its proper divisors (8348479680).

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

3234408000 is a wasteful number, since it uses less digits than its factorization.

3234408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3234408000 is about 56871.8559570549. The cubic root of 3234408000 is about 1478.8754544964.

The spelling of 3234408000 in words is "three billion, two hundred thirty-four million, four hundred eight thousand".