342427953600 has 420 divisors, whose sum is σ = 1332727539264. Its totient is φ = 85942149120.

The previous prime is 342427953559. The next prime is 342427953629. The reversal of 342427953600 is 6359724243.

342427953600 is a `hidden beast` number, since 3 + 4 + 2 + 42 + 79 + 536 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2125489 + ... + 2280911.

Almost surely, 2^342427953600 is an apocalyptic number.

342427953600 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 342427953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666363769632).

342427953600 is an abundant number, since it is smaller than the sum of its proper divisors (990299585664).

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

342427953600 is a wasteful number, since it uses less digits than its factorization.

342427953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155474 (or 155450 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 342427953600 in words is "three hundred forty-two billion, four hundred twenty-seven million, nine hundred fifty-three thousand, six hundred".