340790688000 has 2592 divisors, whose sum is σ = 1587789665280. Its totient is φ = 69672960000.

The previous prime is 340790687999. The next prime is 340790688023. The reversal of 340790688000 is 886097043.

It is a happy number.

It is a super-2 number, since 2×340790688000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8311967980 + ... + 8311968020.

Almost surely, 2^340790688000 is an apocalyptic number.

340790688000 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 340790688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793894832640).

340790688000 is an abundant number, since it is smaller than the sum of its proper divisors (1246998977280).

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

340790688000 is a wasteful number, since it uses less digits than its factorization.

340790688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 340790688000 in words is "three hundred forty billion, seven hundred ninety million, six hundred eighty-eight thousand".