3712734144 has 280 divisors, whose sum is σ = 12715024608. Its totient is φ = 1049241600.

The previous prime is 3712734133. The next prime is 3712734163. The reversal of 3712734144 is 4414372173.

3712734144 is a `hidden beast` number, since 371 + 273 + 4 + 14 + 4 = 666.

It is a super-3 number, since 3×3712734144³ (a number of 30 digits) contains 333 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3712734099 and 3712734108.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3664582 + ... + 3665594.

Almost surely, 2^3712734144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3712734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357512304).

3712734144 is an abundant number, since it is smaller than the sum of its proper divisors (9002290464).

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

3712734144 is a wasteful number, since it uses less digits than its factorization.

3712734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1126 counting only the distinct ones).

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

The square root of 3712734144 is about 60932.2094134129. The cubic root of 3712734144 is about 1548.4527249844.

The spelling of 3712734144 in words is "three billion, seven hundred twelve million, seven hundred thirty-four thousand, one hundred forty-four".