3442715726760 has 128 divisors (see below), whose sum is σ = 11535179472000. Its totient is φ = 913300697088.

The previous prime is 3442715726731. The next prime is 3442715726761. The reversal of 3442715726760 is 676275172443.

3442715726760 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 7 + 1 + 572 + 6 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3442715726697 and 3442715726706.

It is not an unprimeable number, because it can be changed into a prime (3442715726761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8049850 + ... + 8466729.

It is an arithmetic number, because the mean of its divisors is an integer number (90118589625).

Almost surely, 2^{3442715726760} is an apocalyptic number.

3442715726760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442715726760 is an abundant number, since it is smaller than the sum of its proper divisors (8092463745240).

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

3442715726760 is a wasteful number, since it uses less digits than its factorization.

3442715726760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16516792 (or 16516782 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 3442715726760 in words is "three trillion, four hundred forty-two billion, seven hundred fifteen million, seven hundred twenty-six thousand, seven hundred sixty".