1820372736 has 324 divisors, whose sum is σ = 6170496696. Its totient is φ = 472227840.

The previous prime is 1820372693. The next prime is 1820372759. The reversal of 1820372736 is 6372730281.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1820372694 and 1820372703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29842146 + ... + 29842206.

Almost surely, 2^1820372736 is an apocalyptic number.

1820372736 is a gapful number since it is divisible by the number (16) 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 1820372736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085248348).

1820372736 is an abundant number, since it is smaller than the sum of its proper divisors (4350123960).

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

1820372736 is an equidigital number, since it uses as much as digits as its factorization.

1820372736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1820372736 is about 42665.8263250579. The cubic root of 1820372736 is about 1221.0124928208.

Multiplying 1820372736 by its sum of digits (39), we get a square (70994536704 = 266448²).

1820372736 divided by its sum of digits (39) gives a square (46676224 = 6832²).

The spelling of 1820372736 in words is "one billion, eight hundred twenty million, three hundred seventy-two thousand, seven hundred thirty-six".