3823105440 has 384 divisors, whose sum is σ = 15328051200. Its totient is φ = 794035200.

The previous prime is 3823105421. The next prime is 3823105453. The reversal of 3823105440 is 445013283.

It is a super-2 number, since 2×3823105440² = 29232270410715187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3823105398 and 3823105407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1809985 + ... + 1812095.

It is an arithmetic number, because the mean of its divisors is an integer number (39916800).

Almost surely, 2^3823105440 is an apocalyptic number.

3823105440 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 3823105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664025600).

3823105440 is an abundant number, since it is smaller than the sum of its proper divisors (11504945760).

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

3823105440 is a wasteful number, since it uses less digits than its factorization.

3823105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3823105440 is about 61831.2658773860. The cubic root of 3823105440 is about 1563.6471536532.

The spelling of 3823105440 in words is "three billion, eight hundred twenty-three million, one hundred five thousand, four hundred forty".