340018560000 has 1100 divisors, whose sum is σ = 1451600376688. Its totient is φ = 77635584000.

The previous prime is 340018559921. The next prime is 340018560041. The reversal of 340018560000 is 65810043.

340018560000 is a `hidden beast` number, since 3 + 40 + 0 + 18 + 5 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×340018560000² (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 (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 362879532 + ... + 362880468.

Almost surely, 2^340018560000 is an apocalyptic number.

340018560000 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 340018560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725800188344).

340018560000 is an abundant number, since it is smaller than the sum of its proper divisors (1111581816688).

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

340018560000 is an frugal number, since it uses more digits than its factorization.

340018560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 340018560000 in words is "three hundred forty billion, eighteen million, five hundred sixty thousand".