3819993600 has 240 divisors, whose sum is σ = 13030237440. Its totient is φ = 985497600.

The previous prime is 3819993587. The next prime is 3819993607. The reversal of 3819993600 is 63999183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3819993600² = 29184702208081920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3819993600.

It is not an unprimeable number, because it can be changed into a prime (3819993607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1188796 + ... + 1192004.

It is an arithmetic number, because the mean of its divisors is an integer number (54292656).

Almost surely, 2^3819993600 is an apocalyptic number.

3819993600 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 3819993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515118720).

3819993600 is an abundant number, since it is smaller than the sum of its proper divisors (9210243840).

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

3819993600 is a wasteful number, since it uses less digits than its factorization.

3819993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 3819993600 is about 61806.0967866440. The cubic root of 3819993600 is about 1563.2227917812. Note that the first 3 decimals are identical.

The spelling of 3819993600 in words is "three billion, eight hundred nineteen million, nine hundred ninety-three thousand, six hundred".