1813343760 has 560 divisors, whose sum is σ = 7025978880. Its totient is φ = 432967680.

The previous prime is 1813343731. The next prime is 1813343771. The reversal of 1813343760 is 673433181.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 111 ways as a sum of consecutive naturals, for example, 30734611 + ... + 30734669.

Almost surely, 2^1813343760 is an apocalyptic number.

1813343760 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 1813343760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512989440).

1813343760 is an abundant number, since it is smaller than the sum of its proper divisors (5212635120).

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

1813343760 is a wasteful number, since it uses less digits than its factorization.

1813343760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1813343760 is about 42583.3742204631. The cubic root of 1813343760 is about 1219.4389070851.

The spelling of 1813343760 in words is "one billion, eight hundred thirteen million, three hundred forty-three thousand, seven hundred sixty".