3883780598400 has 1152 divisors, whose sum is σ = 14599494702000. Its totient is φ = 982056960000.

The previous prime is 3883780598323. The next prime is 3883780598413. The reversal of 3883780598400 is 48950873883.

3883780598400 is a `hidden beast` number, since 3 + 8 + 8 + 37 + 8 + 0 + 598 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 32547046464 + 3851233551936 = 180408^2 + 1962456^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9685238200 + ... + 9685238600.

Almost surely, 2^{3883780598400} is an apocalyptic number.

3883780598400 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 3883780598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299747351000).

3883780598400 is an abundant number, since it is smaller than the sum of its proper divisors (10715714103600).

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

3883780598400 is a wasteful number, since it uses less digits than its factorization.

3883780598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 3883780598400 in words is "three trillion, eight hundred eighty-three billion, seven hundred eighty million, five hundred ninety-eight thousand, four hundred".