3424734316800 has 324 divisors, whose sum is σ = 12253863591424. Its totient is φ = 912541593600.

The previous prime is 3424734316799. The next prime is 3424734316819. The reversal of 3424734316800 is 86134374243.

3424734316800 is a `hidden beast` number, since 3 + 4 + 247 + 343 + 1 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 75029985 + ... + 75075615.

Almost surely, 2^{3424734316800} is an apocalyptic number.

3424734316800 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 3424734316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126931795712).

3424734316800 is an abundant number, since it is smaller than the sum of its proper divisors (8829129274624).

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

3424734316800 is a wasteful number, since it uses less digits than its factorization.

3424734316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46966 (or 46944 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3424734316800 in words is "three trillion, four hundred twenty-four billion, seven hundred thirty-four million, three hundred sixteen thousand, eight hundred".