34242754560000 has 3600 divisors, whose sum is σ = 150843749548800. Its totient is φ = 6738149376000.

The previous prime is 34242754559999. The next prime is 34242754560023. The reversal of 34242754560000 is 6545724243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1180784639986 + ... + 1180784640014.

Almost surely, 2^{34242754560000} is an apocalyptic number.

34242754560000 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 34242754560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75421874774400).

34242754560000 is an abundant number, since it is smaller than the sum of its proper divisors (116600994988800).

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

34242754560000 is an equidigital number, since it uses as much as digits as its factorization.

34242754560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 34242754560000 in words is "thirty-four trillion, two hundred forty-two billion, seven hundred fifty-four million, five hundred sixty thousand".