3819133440 has 240 divisors, whose sum is σ = 13803723648. Its totient is φ = 974020608.

The previous prime is 3819133427. The next prime is 3819133447. The reversal of 3819133440 is 443319183.

3819133440 is a `hidden beast` number, since 3 + 81 + 9 + 133 + 440 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3819133395 and 3819133404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3819133447) 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, 526317 + ... + 533523.

Almost surely, 2^3819133440 is an apocalyptic number.

3819133440 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 3819133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901861824).

3819133440 is an abundant number, since it is smaller than the sum of its proper divisors (9984590208).

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

3819133440 is a wasteful number, since it uses less digits than its factorization.

3819133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3819133440 is about 61799.1378580640. The cubic root of 3819133440 is about 1563.1054510389.

It can be divided in two parts, 38191 and 33440, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 3819133440 in words is "three billion, eight hundred nineteen million, one hundred thirty-three thousand, four hundred forty".