340742700000 has 1440 divisors, whose sum is σ = 1372052183040. Its totient is φ = 82684800000.

The previous prime is 340742699981. The next prime is 340742700017. The reversal of 340742700000 is 7247043.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×340742700000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5775299971 + ... + 5775300029.

It is an arithmetic number, because the mean of its divisors is an integer number (952814016).

Almost surely, 2^340742700000 is an apocalyptic number.

340742700000 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 340742700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686026091520).

340742700000 is an abundant number, since it is smaller than the sum of its proper divisors (1031309483040).

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

340742700000 is an equidigital number, since it uses as much as digits as its factorization.

340742700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

Adding to 340742700000 its reverse (7247043), we get a palindrome (340749947043).

The spelling of 340742700000 in words is "three hundred forty billion, seven hundred forty-two million, seven hundred thousand".