342386472960 has 1152 divisors, whose sum is σ = 1434101760000. Its totient is φ = 77253378048.

The previous prime is 342386472949. The next prime is 342386473019. The reversal of 342386472960 is 69274683243.

342386472960 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 86 + 472 + 96 + 0 = 666.

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

It is a super-2 number, since 2×342386472960² (a number of 24 digits) contains 22 as substring.

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 = 342386472897 and 342386472906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1720534941 + ... + 1720535139.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880000).

Almost surely, 2^342386472960 is an apocalyptic number.

342386472960 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 342386472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880000).

342386472960 is an abundant number, since it is smaller than the sum of its proper divisors (1091715287040).

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

342386472960 is a wasteful number, since it uses less digits than its factorization.

342386472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 342386472960 in words is "three hundred forty-two billion, three hundred eighty-six million, four hundred seventy-two thousand, nine hundred sixty".