1801634340 has 288 divisors, whose sum is σ = 6011429760. Its totient is φ = 401448960.

The previous prime is 1801634333. The next prime is 1801634357. The reversal of 1801634340 is 434361081.

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 = 1801634298 and 1801634307.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5103604 + ... + 5103956.

It is an arithmetic number, because the mean of its divisors is an integer number (20873020).

Almost surely, 2^1801634340 is an apocalyptic number.

1801634340 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 1801634340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005714880).

1801634340 is an abundant number, since it is smaller than the sum of its proper divisors (4209795420).

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

1801634340 is a wasteful number, since it uses less digits than its factorization.

1801634340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1801634340 is about 42445.6633827297. The cubic root of 1801634340 is about 1216.8084501892.

The spelling of 1801634340 in words is "one billion, eight hundred one million, six hundred thirty-four thousand, three hundred forty".