342612029760 has 2016 divisors, whose sum is σ = 1565100061056. Its totient is φ = 62396006400.

The previous prime is 342612029737. The next prime is 342612029777. The reversal of 342612029760 is 67920216243.

It is a super-3 number, since 3×342612029760³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6464377894 + ... + 6464377946.

It is an arithmetic number, because the mean of its divisors is an integer number (776339316).

Almost surely, 2^342612029760 is an apocalyptic number.

342612029760 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 342612029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782550030528).

342612029760 is an abundant number, since it is smaller than the sum of its proper divisors (1222488031296).

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

342612029760 is a wasteful number, since it uses less digits than its factorization.

342612029760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 342612029760 in words is "three hundred forty-two billion, six hundred twelve million, twenty-nine thousand, seven hundred sixty".