3135776640 has 192 divisors, whose sum is σ = 10281342960. Its totient is φ = 812924928.

The previous prime is 3135776627. The next prime is 3135776647. The reversal of 3135776640 is 466775313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 3135776592 and 3135776601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135776647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2627884 + ... + 2629076.

Almost surely, 2^3135776640 is an apocalyptic number.

3135776640 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 3135776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140671480).

3135776640 is an abundant number, since it is smaller than the sum of its proper divisors (7145566320).

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

3135776640 is a wasteful number, since it uses less digits than its factorization.

3135776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 3135776640 is about 55998.0056787740. The cubic root of 3135776640 is about 1463.6875322265.

The spelling of 3135776640 in words is "three billion, one hundred thirty-five million, seven hundred seventy-six thousand, six hundred forty".