340354090944 has 672 divisors, whose sum is σ = 1212130590720. Its totient is φ = 93274675200.

The previous prime is 340354090897. The next prime is 340354090949. The reversal of 340354090944 is 449090453043.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×340354090944² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 340354090944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340354090949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333353154 + ... + 333354174.

It is an arithmetic number, because the mean of its divisors is an integer number (1803765760).

Almost surely, 2^340354090944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340354090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606065295360).

340354090944 is an abundant number, since it is smaller than the sum of its proper divisors (871776499776).

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

340354090944 is a wasteful number, since it uses less digits than its factorization.

340354090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 340354090944 in words is "three hundred forty billion, three hundred fifty-four million, ninety thousand, nine hundred forty-four".