342350663040 has 192 divisors, whose sum is σ = 1191206530800. Its totient is φ = 90596413440.

The previous prime is 342350663003. The next prime is 342350663071. The reversal of 342350663040 is 40366053243.

342350663040 is a `hidden beast` number, since 34 + 23 + 506 + 63 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342350662986 and 342350663004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527706 + ... + 981414.

Almost surely, 2^342350663040 is an apocalyptic number.

342350663040 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 342350663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595603265400).

342350663040 is an abundant number, since it is smaller than the sum of its proper divisors (848855867760).

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

342350663040 is a wasteful number, since it uses less digits than its factorization.

342350663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453865 (or 453850 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 342350663040 in words is "three hundred forty-two billion, three hundred fifty million, six hundred sixty-three thousand, forty".