3456006450 has 192 divisors, whose sum is σ = 9701379072. Its totient is φ = 807840000.

The previous prime is 3456006439. The next prime is 3456006469. The reversal of 3456006450 is 546006543.

It is a Curzon 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, 11257197 + ... + 11257503.

It is an arithmetic number, because the mean of its divisors is an integer number (50528016).

Almost surely, 2^3456006450 is an apocalyptic number.

3456006450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456006450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850689536).

3456006450 is an abundant number, since it is smaller than the sum of its proper divisors (6245372622).

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

3456006450 is a wasteful number, since it uses less digits than its factorization.

3456006450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 3456006450 is about 58787.8086851347. The cubic root of 3456006450 is about 1511.9062004393.

The spelling of 3456006450 in words is "three billion, four hundred fifty-six million, six thousand, four hundred fifty".