3819243960 has 320 divisors, whose sum is σ = 15444633600. Its totient is φ = 826930944.

The previous prime is 3819243937. The next prime is 3819244027. The reversal of 3819243960 is 693429183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 426489 + ... + 435351.

It is an arithmetic number, because the mean of its divisors is an integer number (48264480).

Almost surely, 2^3819243960 is an apocalyptic number.

3819243960 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 3819243960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722316800).

3819243960 is an abundant number, since it is smaller than the sum of its proper divisors (11625389640).

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

3819243960 is a wasteful number, since it uses less digits than its factorization.

3819243960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3819243960 is about 61800.0320388266. The cubic root of 3819243960 is about 1563.1205288702.

The spelling of 3819243960 in words is "three billion, eight hundred nineteen million, two hundred forty-three thousand, nine hundred sixty".