3732141312 has 288 divisors, whose sum is σ = 11709667200. Its totient is φ = 1170505728.

The previous prime is 3732141311. The next prime is 3732141323. The reversal of 3732141312 is 2131412373.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3732141311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8619048 + ... + 8619480.

Almost surely, 2^3732141312 is an apocalyptic number.

3732141312 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 3732141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854833600).

3732141312 is an abundant number, since it is smaller than the sum of its proper divisors (7977525888).

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

3732141312 is a wasteful number, since it uses less digits than its factorization.

3732141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3732141312 is about 61091.2539730525. The cubic root of 3732141312 is about 1551.1460566038.

Adding to 3732141312 its reverse (2131412373), we get a palindrome (5863553685).

The spelling of 3732141312 in words is "three billion, seven hundred thirty-two million, one hundred forty-one thousand, three hundred twelve".