3157613451720 has 768 divisors, whose sum is σ = 13164802560000. Its totient is φ = 662836939776.

The previous prime is 3157613451719. The next prime is 3157613451731. The reversal of 3157613451720 is 271543167513.

3157613451720 is a `hidden beast` number, since 3 + 1 + 5 + 7 + 613 + 4 + 5 + 1 + 7 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 176010511 + ... + 176028449.

It is an arithmetic number, because the mean of its divisors is an integer number (17141670000).

Almost surely, 2^{3157613451720} is an apocalyptic number.

3157613451720 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 3157613451720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582401280000).

3157613451720 is an abundant number, since it is smaller than the sum of its proper divisors (10007189108280).

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

3157613451720 is a wasteful number, since it uses less digits than its factorization.

3157613451720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18184 (or 18168 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

It can be divided in two parts, 315761 and 3451720, that added together give a square (3767481 = 1941²).

The spelling of 3157613451720 in words is "three trillion, one hundred fifty-seven billion, six hundred thirteen million, four hundred fifty-one thousand, seven hundred twenty".