34456323863808 has 1728 divisors, whose sum is σ = 140702591877120. Its totient is φ = 8132227891200.

The previous prime is 34456323863747. The next prime is 34456323863833. The reversal of 34456323863808 is 80836832365443.

34456323863808 is a `hidden beast` number, since 3 + 4 + 4 + 563 + 2 + 3 + 8 + 63 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2361470593 + ... + 2361485183.

It is an arithmetic number, because the mean of its divisors is an integer number (81425111040).

Almost surely, 2^{34456323863808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34456323863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70351295938560).

34456323863808 is an abundant number, since it is smaller than the sum of its proper divisors (106246268013312).

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

34456323863808 is a wasteful number, since it uses less digits than its factorization.

34456323863808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686 (or 14660 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 34456323863808 in words is "thirty-four trillion, four hundred fifty-six billion, three hundred twenty-three million, eight hundred sixty-three thousand, eight hundred eight".