1830379200 has 168 divisors, whose sum is σ = 6467325648. Its totient is φ = 450539520.

The previous prime is 1830379189. The next prime is 1830379211. The reversal of 1830379200 is 29730381.

It is an interprime number because it is at equal distance from previous prime (1830379189) and next prime (1830379211).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47734 + ... + 77066.

It is an arithmetic number, because the mean of its divisors is an integer number (38495986).

Almost surely, 2^1830379200 is an apocalyptic number.

1830379200 is a gapful number since it is divisible by the number (10) 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 1830379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233662824).

1830379200 is an abundant number, since it is smaller than the sum of its proper divisors (4636946448).

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

1830379200 is a wasteful number, since it uses less digits than its factorization.

1830379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29371 (or 29356 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1830379200 is about 42782.9311758790. The cubic root of 1830379200 is about 1223.2456798724.

The spelling of 1830379200 in words is "one billion, eight hundred thirty million, three hundred seventy-nine thousand, two hundred".