3463782400 has 168 divisors, whose sum is σ = 9257509044. Its totient is φ = 1277952000.

The previous prime is 3463782391. The next prime is 3463782407. The reversal of 3463782400 is 42873643.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19501056 + 3444281344 = 4416^2 + 58688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3463782400.

It is not an unprimeable number, because it can be changed into a prime (3463782407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2661750 + ... + 2663050.

Almost surely, 2^3463782400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3463782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628754522).

3463782400 is an abundant number, since it is smaller than the sum of its proper divisors (5793726644).

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

3463782400 is a wasteful number, since it uses less digits than its factorization.

3463782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 3463782400 is about 58853.9072619652. The cubic root of 3463782400 is about 1513.0392713105.

The spelling of 3463782400 in words is "three billion, four hundred sixty-three million, seven hundred eighty-two thousand, four hundred".