3700662723072 has 960 divisors, whose sum is σ = 13280989962240. Its totient is φ = 1005826719744.

The previous prime is 3700662723067. The next prime is 3700662723077. The reversal of 3700662723072 is 2703272660073.

3700662723072 is a `hidden beast` number, since 3 + 70 + 0 + 6 + 6 + 272 + 307 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3700662723067) and next prime (3700662723077).

It is a super-2 number, since 2×3700662723072² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3700662723077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4787402878 + ... + 4787403650.

It is an arithmetic number, because the mean of its divisors is an integer number (13834364544).

Almost surely, 2^{3700662723072} is an apocalyptic number.

3700662723072 is a gapful number since it is divisible by the number (32) 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 3700662723072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640494981120).

3700662723072 is an abundant number, since it is smaller than the sum of its proper divisors (9580327239168).

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

3700662723072 is an equidigital number, since it uses as much as digits as its factorization.

3700662723072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 3700662723072 in words is "three trillion, seven hundred billion, six hundred sixty-two million, seven hundred twenty-three thousand, seventy-two".