3421900800 has 468 divisors, whose sum is σ = 12675736320. Its totient is φ = 881786880.

The previous prime is 3421900793. The next prime is 3421900829. The reversal of 3421900800 is 80091243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43315161 + ... + 43315239.

Almost surely, 2^3421900800 is an apocalyptic number.

3421900800 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 3421900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337868160).

3421900800 is an abundant number, since it is smaller than the sum of its proper divisors (9253835520).

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

3421900800 is a wasteful number, since it uses less digits than its factorization.

3421900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3421900800 is about 58497.0153084754. The cubic root of 3421900800 is about 1506.9163272638.

The spelling of 3421900800 in words is "three billion, four hundred twenty-one million, nine hundred thousand, eight hundred".