1921834400 has 36 divisors (see below), whose sum is σ = 4691680182. Its totient is φ = 768733440.

The previous prime is 1921834361. The next prime is 1921834403. The reversal of 1921834400 is 44381291.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1701727504 + 220106896 = 41252^2 + 14836^2 .

It is a super-2 number, since 2×1921834400² = 7386894922046720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1921834403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1200347 + ... + 1201946.

Almost surely, 2^1921834400 is an apocalyptic number.

1921834400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1921834400 is an abundant number, since it is smaller than the sum of its proper divisors (2769845782).

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

1921834400 is a wasteful number, since it uses less digits than its factorization.

1921834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402313 (or 2402300 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1921834400 is about 43838.7317334797. The cubic root of 1921834400 is about 1243.2887032850.

The spelling of 1921834400 in words is "one billion, nine hundred twenty-one million, eight hundred thirty-four thousand, four hundred".