340744942080 has 960 divisors, whose sum is σ = 1304076533760. Its totient is φ = 85028880384.

The previous prime is 340744942073. The next prime is 340744942117. The reversal of 340744942080 is 80249447043.

340744942080 is a `hidden beast` number, since 3 + 40 + 74 + 49 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×340744942080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1501078927 + ... + 1501079153.

It is an arithmetic number, because the mean of its divisors is an integer number (1358413056).

Almost surely, 2^340744942080 is an apocalyptic number.

340744942080 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 340744942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652038266880).

340744942080 is an abundant number, since it is smaller than the sum of its proper divisors (963331591680).

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

340744942080 is a wasteful number, since it uses less digits than its factorization.

340744942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 340744942080 in words is "three hundred forty billion, seven hundred forty-four million, nine hundred forty-two thousand, eighty".