342616780800 has 1404 divisors, whose sum is σ = 1485675520056. Its totient is φ = 78033715200.

The previous prime is 342616780799. The next prime is 342616780819. The reversal of 342616780800 is 8087616243.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1219276660 + ... + 1219276940.

Almost surely, 2^342616780800 is an apocalyptic number.

342616780800 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 342616780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742837760028).

342616780800 is an abundant number, since it is smaller than the sum of its proper divisors (1143058739256).

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

342616780800 is an equidigital number, since it uses as much as digits as its factorization.

342616780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 342616780800 in words is "three hundred forty-two billion, six hundred sixteen million, seven hundred eighty thousand, eight hundred".