3237850409472 has 320 divisors, whose sum is σ = 10977984864000. Its totient is φ = 923027374080.

The previous prime is 3237850409461. The next prime is 3237850409473. The reversal of 3237850409472 is 2749040587323.

It is a happy number.

3237850409472 is a `hidden beast` number, since 3 + 23 + 78 + 504 + 0 + 9 + 47 + 2 = 666.

3237850409472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3237850409473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43411572 + ... + 43486092.

It is an arithmetic number, because the mean of its divisors is an integer number (34306202700).

Almost surely, 2^{3237850409472} is an apocalyptic number.

3237850409472 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 3237850409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488992432000).

3237850409472 is an abundant number, since it is smaller than the sum of its proper divisors (7740134454528).

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

3237850409472 is an equidigital number, since it uses as much as digits as its factorization.

3237850409472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75004 (or 74982 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3237850409472 in words is "three trillion, two hundred thirty-seven billion, eight hundred fifty million, four hundred nine thousand, four hundred seventy-two".