3137795480736 has 648 divisors, whose sum is σ = 10904280682932. Its totient is φ = 853145395200.

The previous prime is 3137795480717. The next prime is 3137795480747. The reversal of 3137795480736 is 6370845977313.

It is a happy number.

3137795480736 is a `hidden beast` number, since 3 + 1 + 37 + 7 + 95 + 480 + 7 + 36 = 666.

3137795480736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2481948176400 + 655847304336 = 1575420^2 + 809844^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 827257656 + ... + 827261448.

Almost surely, 2^{3137795480736} is an apocalyptic number.

3137795480736 is a gapful number since it is divisible by the number (36) 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 3137795480736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452140341466).

3137795480736 is an abundant number, since it is smaller than the sum of its proper divisors (7766485202196).

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

3137795480736 is a wasteful number, since it uses less digits than its factorization.

3137795480736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 3137795480736 in words is "three trillion, one hundred thirty-seven billion, seven hundred ninety-five million, four hundred eighty thousand, seven hundred thirty-six".