3115826640 has 240 divisors, whose sum is σ = 11216657088. Its totient is φ = 772337664.

The previous prime is 3115826633. The next prime is 3115826683. The reversal of 3115826640 is 466285113.

It is a happy number.

3115826640 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 8 + 2 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3115826595 and 3115826604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014387 + ... + 1017453.

Almost surely, 2^3115826640 is an apocalyptic number.

3115826640 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 3115826640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608328544).

3115826640 is an abundant number, since it is smaller than the sum of its proper divisors (8100830448).

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

3115826640 is a wasteful number, since it uses less digits than its factorization.

3115826640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3115826640 is about 55819.5901095664. The cubic root of 3115826640 is about 1460.5769034320.

The spelling of 3115826640 in words is "three billion, one hundred fifteen million, eight hundred twenty-six thousand, six hundred forty".