3056162826240 has 576 divisors, whose sum is σ = 10762839360000. Its totient is φ = 801933361152.

The previous prime is 3056162826173. The next prime is 3056162826259. The reversal of 3056162826240 is 426282616503.

3056162826240 is a `hidden beast` number, since 3 + 0 + 5 + 6 + 16 + 2 + 8 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1960334581 + ... + 1960336139.

It is an arithmetic number, because the mean of its divisors is an integer number (18685485000).

Almost surely, 2^{3056162826240} is an apocalyptic number.

3056162826240 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 3056162826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381419680000).

3056162826240 is an abundant number, since it is smaller than the sum of its proper divisors (7706676533760).

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

3056162826240 is a wasteful number, since it uses less digits than its factorization.

3056162826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3056162826240 in words is "three trillion, fifty-six billion, one hundred sixty-two million, eight hundred twenty-six thousand, two hundred forty".