3426234000 has 480 divisors, whose sum is σ = 13209321216. Its totient is φ = 748339200.

The previous prime is 3426233989. The next prime is 3426234013. The reversal of 3426234000 is 4326243.

It is a happy number.

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

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, 35321952 + ... + 35322048.

Almost surely, 2^3426234000 is an apocalyptic number.

3426234000 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 3426234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604660608).

3426234000 is an abundant number, since it is smaller than the sum of its proper divisors (9783087216).

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

3426234000 is a wasteful number, since it uses less digits than its factorization.

3426234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3426234000 is about 58534.0413776462. The cubic root of 3426234000 is about 1507.5521352453.

The spelling of 3426234000 in words is "three billion, four hundred twenty-six million, two hundred thirty-four thousand".