3426129600 has 336 divisors, whose sum is σ = 11776984320. Its totient is φ = 870912000.

The previous prime is 3426129593. The next prime is 3426129643. The reversal of 3426129600 is 69216243.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21019119 + ... + 21019281.

Almost surely, 2^3426129600 is an apocalyptic number.

3426129600 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 3426129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888492160).

3426129600 is an abundant number, since it is smaller than the sum of its proper divisors (8350854720).

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

3426129600 is a wasteful number, since it uses less digits than its factorization.

3426129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3426129600 is about 58533.1495820958. The cubic root of 3426129600 is about 1507.5368229965.

The spelling of 3426129600 in words is "three billion, four hundred twenty-six million, one hundred twenty-nine thousand, six hundred".