34951309498368 has 432 divisors, whose sum is σ = 106962616673640. Its totient is φ = 11402196221952.

The previous prime is 34951309498319. The next prime is 34951309498397. The reversal of 34951309498368 is 86389490315943.

34951309498368 is a `hidden beast` number, since 3 + 4 + 9 + 513 + 0 + 9 + 49 + 8 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34951309498296 and 34951309498305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1099323880 + ... + 1099355672.

Almost surely, 2^{34951309498368} 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 34951309498368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53481308336820).

34951309498368 is an abundant number, since it is smaller than the sum of its proper divisors (72011307175272).

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

34951309498368 is an frugal number, since it uses more digits than its factorization.

34951309498368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31924 (or 31845 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 34951309498368 in words is "thirty-four trillion, nine hundred fifty-one billion, three hundred nine million, four hundred ninety-eight thousand, three hundred sixty-eight".