1820738304 has 432 divisors, whose sum is σ = 6785425920. Its totient is φ = 471398400.

The previous prime is 1820738303. The next prime is 1820738321. The reversal of 1820738304 is 4038370281.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820738303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5854309 + ... + 5854619.

Almost surely, 2^1820738304 is an apocalyptic number.

1820738304 is a gapful number since it is divisible by the number (14) 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 1820738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392712960).

1820738304 is an abundant number, since it is smaller than the sum of its proper divisors (4964687616).

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

1820738304 is a wasteful number, since it uses less digits than its factorization.

1820738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1820738304 is about 42670.1101943738. The cubic root of 1820738304 is about 1221.0942220934.

The spelling of 1820738304 in words is "one billion, eight hundred twenty million, seven hundred thirty-eight thousand, three hundred four".