3700236960 has 324 divisors, whose sum is σ = 14753041758. Its totient is φ = 842075136.

The previous prime is 3700236959. The next prime is 3700236961. The reversal of 3700236960 is 696320073.

It is an interprime number because it is at equal distance from previous prime (3700236959) and next prime (3700236961).

It can be written as a sum of positive squares in 3 ways, for example, as 3688375824 + 11861136 = 60732^2 + 3444^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3700236961) 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 53 ways as a sum of consecutive naturals, for example, 16158126 + ... + 16158354.

Almost surely, 2^3700236960 is an apocalyptic number.

3700236960 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 3700236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376520879).

3700236960 is an abundant number, since it is smaller than the sum of its proper divisors (11052804798).

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

3700236960 is a wasteful number, since it uses less digits than its factorization.

3700236960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3700236960 is about 60829.5730709989. The cubic root of 3700236960 is about 1546.7133912097.

The spelling of 3700236960 in words is "three billion, seven hundred million, two hundred thirty-six thousand, nine hundred sixty".