342035740800 has 768 divisors, whose sum is σ = 1367349984000. Its totient is φ = 82988236800.

The previous prime is 342035740777. The next prime is 342035740817. The reversal of 342035740800 is 8047530243.

It is a happy number.

342035740800 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 3 + 574 + 0 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79745056 + ... + 79749344.

It is an arithmetic number, because the mean of its divisors is an integer number (1780403625).

Almost surely, 2^342035740800 is an apocalyptic number.

342035740800 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 342035740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683674992000).

342035740800 is an abundant number, since it is smaller than the sum of its proper divisors (1025314243200).

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

342035740800 is a wasteful number, since it uses less digits than its factorization.

342035740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 342035740800 in words is "three hundred forty-two billion, thirty-five million, seven hundred forty thousand, eight hundred".