3157317723420 has 768 divisors, whose sum is σ = 11857563648000. Its totient is φ = 696450908160.

The previous prime is 3157317723403. The next prime is 3157317723431. The reversal of 3157317723420 is 243277137513.

3157317723420 is a `hidden beast` number, since 3 + 1 + 57 + 3 + 177 + 2 + 3 + 420 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3313029664 + ... + 3313030616.

It is an arithmetic number, because the mean of its divisors is an integer number (15439536000).

Almost surely, 2^{3157317723420} is an apocalyptic number.

3157317723420 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 3157317723420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928781824000).

3157317723420 is an abundant number, since it is smaller than the sum of its proper divisors (8700245924580).

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

3157317723420 is a wasteful number, since it uses less digits than its factorization.

3157317723420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 3157317723420 in words is "three trillion, one hundred fifty-seven billion, three hundred seventeen million, seven hundred twenty-three thousand, four hundred twenty".