2983634382400 has 567 divisors, whose sum is σ = 8869180690737. Its totient is φ = 984986956800.

The previous prime is 2983634382383. The next prime is 2983634382401. The reversal of 2983634382400 is 42834363892.

The square root of 2983634382400 is 1727320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1074108377664 + 1909526004736 = 1036392^2 + 1381856^2 .

It is not an unprimeable number, because it can be changed into a prime (2983634382401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14993137501 + ... + 14993137699.

Almost surely, 2^{2983634382400} is an apocalyptic number.

2983634382400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2983634382400 is the 1727320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2983634382400

2983634382400 is an abundant number, since it is smaller than the sum of its proper divisors (5885546308337).

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

2983634382400 is an equidigital number, since it uses as much as digits as its factorization.

2983634382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 52.

The spelling of 2983634382400 in words is "two trillion, nine hundred eighty-three billion, six hundred thirty-four million, three hundred eighty-two thousand, four hundred".