342091157760 has 1152 divisors, whose sum is σ = 1435982929920. Its totient is φ = 76175769600.

The previous prime is 342091157753. The next prime is 342091157761. The reversal of 342091157760 is 67751190243.

342091157760 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 9 + 11 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (342091157761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 277896345 + ... + 277897575.

It is an arithmetic number, because the mean of its divisors is an integer number (1246512960).

Almost surely, 2^342091157760 is an apocalyptic number.

342091157760 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 342091157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717991464960).

342091157760 is an abundant number, since it is smaller than the sum of its proper divisors (1093891772160).

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

342091157760 is a wasteful number, since it uses less digits than its factorization.

342091157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 342091157760 in words is "three hundred forty-two billion, ninety-one million, one hundred fifty-seven thousand, seven hundred sixty".