3426475200 has 168 divisors, whose sum is σ = 11833677120. Its totient is φ = 865612800.

The previous prime is 3426475187. The next prime is 3426475271. The reversal of 3426475200 is 25746243.

3426475200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72415 + ... + 109985.

Almost surely, 2^3426475200 is an apocalyptic number.

3426475200 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 3426475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916838560).

3426475200 is an abundant number, since it is smaller than the sum of its proper divisors (8407201920).

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

3426475200 is a wasteful number, since it uses less digits than its factorization.

3426475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37615 (or 37600 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 3426475200 is about 58536.1016809285. The cubic root of 3426475200 is about 1507.5875106305.

The spelling of 3426475200 in words is "three billion, four hundred twenty-six million, four hundred seventy-five thousand, two hundred".