3730847040 has 252 divisors, whose sum is σ = 13332941076. Its totient is φ = 994332672.

The previous prime is 3730847017. The next prime is 3730847041. The reversal of 3730847040 is 407480373.

It can be written as a sum of positive squares in 2 ways, for example, as 1614110976 + 2116736064 = 40176^2 + 46008^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3730846986 and 3730847004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730847041) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2098632 + ... + 2100408.

Almost surely, 2^3730847040 is an apocalyptic number.

3730847040 is a gapful number since it is divisible by the number (30) 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 3730847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666470538).

3730847040 is an abundant number, since it is smaller than the sum of its proper divisors (9602094036).

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

3730847040 is an frugal number, since it uses more digits than its factorization.

3730847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3730847040 is about 61080.6601143111. The cubic root of 3730847040 is about 1550.9667281827.

It can be divided in two parts, 37308 and 47040, that added together give a palindrome (84348).

The spelling of 3730847040 in words is "three billion, seven hundred thirty million, eight hundred forty-seven thousand, forty".