3427324800 has 192 divisors, whose sum is σ = 11595054000. Its totient is φ = 889159680.

The previous prime is 3427324787. The next prime is 3427324841. The reversal of 3427324800 is 84237243.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 350376 + ... + 360024.

Almost surely, 2^3427324800 is an apocalyptic number.

3427324800 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 3427324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797527000).

3427324800 is an abundant number, since it is smaller than the sum of its proper divisors (8167729200).

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

3427324800 is a wasteful number, since it uses less digits than its factorization.

3427324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 3427324800 is about 58543.3582910991. The cubic root of 3427324800 is about 1507.7121032440.

It can be divided in two parts, 342732 and 4800, that multiplied together give a square (1645113600 = 40560²).

The spelling of 3427324800 in words is "three billion, four hundred twenty-seven million, three hundred twenty-four thousand, eight hundred".