342726927840 has 1344 divisors, whose sum is σ = 1477835331840. Its totient is φ = 73992683520.

The previous prime is 342726927839. The next prime is 342726927841. The reversal of 342726927840 is 48729627243.

342726927840 is a `hidden beast` number, since 3 + 4 + 272 + 69 + 278 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (342726927839) and next prime (342726927841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342726927841) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 414421507 + ... + 414422333.

It is an arithmetic number, because the mean of its divisors is an integer number (1099579860).

Almost surely, 2^342726927840 is an apocalyptic number.

342726927840 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 342726927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738917665920).

342726927840 is an abundant number, since it is smaller than the sum of its proper divisors (1135108404000).

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

342726927840 is a wasteful number, since it uses less digits than its factorization.

342726927840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 342726927840 in words is "three hundred forty-two billion, seven hundred twenty-six million, nine hundred twenty-seven thousand, eight hundred forty".