340070234112 has 1152 divisors, whose sum is σ = 1245504798720. Its totient is φ = 90654474240.

The previous prime is 340070234051. The next prime is 340070234173. The reversal of 340070234112 is 211432070043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340070234051) and next prime (340070234173).

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5075675103 + ... + 5075675169.

It is an arithmetic number, because the mean of its divisors is an integer number (1081167360).

Almost surely, 2^340070234112 is an apocalyptic number.

340070234112 is a gapful number since it is divisible by the number (32) 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 340070234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622752399360).

340070234112 is an abundant number, since it is smaller than the sum of its proper divisors (905434564608).

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

340070234112 is an equidigital number, since it uses as much as digits as its factorization.

340070234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 340070234112 in words is "three hundred forty billion, seventy million, two hundred thirty-four thousand, one hundred twelve".