3746969321472 has 960 divisors, whose sum is σ = 12567266060580. Its totient is φ = 1105849221120.

The previous prime is 3746969321461. The next prime is 3746969321497. The reversal of 3746969321472 is 2741239696473.

It is a happy number.

3746969321472 is a `hidden beast` number, since 3 + 7 + 46 + 96 + 9 + 32 + 1 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2817241399296 + 929727922176 = 1678464^2 + 964224^2 .

Its product of digits (82301184) is a multiple of the sum of its prime divisors (162).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 33159020488 + ... + 33159020600.

Almost surely, 2^{3746969321472} is an apocalyptic number.

3746969321472 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 3746969321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283633030290).

3746969321472 is an abundant number, since it is smaller than the sum of its proper divisors (8820296739108).

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

3746969321472 is an equidigital number, since it uses as much as digits as its factorization.

3746969321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 162 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 3746969321472 in words is "three trillion, seven hundred forty-six billion, nine hundred sixty-nine million, three hundred twenty-one thousand, four hundred seventy-two".