3746397312 has 192 divisors, whose sum is σ = 12862893600. Its totient is φ = 1070350848.

The previous prime is 3746397269. The next prime is 3746397349. The reversal of 3746397312 is 2137936473.

It is a happy number.

3746397312 is a `hidden beast` number, since 3 + 7 + 4 + 639 + 7 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158283 + ... + 180405.

Almost surely, 2^3746397312 is an apocalyptic number.

3746397312 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 3746397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431446800).

3746397312 is an abundant number, since it is smaller than the sum of its proper divisors (9116496288).

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

3746397312 is a wasteful number, since it uses less digits than its factorization.

3746397312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22160 (or 22135 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 3746397312 is about 61207.8206767730. The cubic root of 3746397312 is about 1553.1185651522.

The spelling of 3746397312 in words is "three billion, seven hundred forty-six million, three hundred ninety-seven thousand, three hundred twelve".