3136961201640 has 256 divisors, whose sum is σ = 10978053120000. Its totient is φ = 716806621440.

The previous prime is 3136961201611. The next prime is 3136961201669. The reversal of 3136961201640 is 461021696313.

It is a happy number.

3136961201640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3136961201611) and next prime (3136961201669).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3136961201592 and 3136961201601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169199491 + ... + 169218029.

It is an arithmetic number, because the mean of its divisors is an integer number (42883020000).

Almost surely, 2^{3136961201640} is an apocalyptic number.

3136961201640 is a gapful number since it is divisible by the number (30) 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 3136961201640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489026560000).

3136961201640 is an abundant number, since it is smaller than the sum of its proper divisors (7841091918360).

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

3136961201640 is a wasteful number, since it uses less digits than its factorization.

3136961201640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22685 (or 22667 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

Adding to 3136961201640 its reverse (461021696313), we get a palindrome (3597982897953).

The spelling of 3136961201640 in words is "three trillion, one hundred thirty-six billion, nine hundred sixty-one million, two hundred one thousand, six hundred forty".