342726645690 has 768 divisors, whose sum is σ = 1153250058240. Its totient is φ = 71378081280.

The previous prime is 342726645683. The next prime is 342726645727. The reversal of 342726645690 is 96546627243.

342726645690 is a `hidden beast` number, since 3 + 4 + 2 + 72 + 6 + 6 + 4 + 569 + 0 = 666.

It is a super-2 number, since 2×342726645690² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 933859887 + ... + 933860253.

It is an arithmetic number, because the mean of its divisors is an integer number (1501627680).

Almost surely, 2^342726645690 is an apocalyptic number.

342726645690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342726645690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576625029120).

342726645690 is an abundant number, since it is smaller than the sum of its proper divisors (810523412550).

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

342726645690 is a wasteful number, since it uses less digits than its factorization.

342726645690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 342726645690 in words is "three hundred forty-two billion, seven hundred twenty-six million, six hundred forty-five thousand, six hundred ninety".