342677743680 has 448 divisors, whose sum is σ = 1216846944000. Its totient is φ = 81322278912.

The previous prime is 342677743673. The next prime is 342677743693. The reversal of 342677743680 is 86347776243.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 342677743680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19562766 + ... + 19580274.

Almost surely, 2^342677743680 is an apocalyptic number.

342677743680 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 342677743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608423472000).

342677743680 is an abundant number, since it is smaller than the sum of its proper divisors (874169200320).

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

342677743680 is a wasteful number, since it uses less digits than its factorization.

342677743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17614 (or 17604 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 57.

The spelling of 342677743680 in words is "three hundred forty-two billion, six hundred seventy-seven million, seven hundred forty-three thousand, six hundred eighty".