34126354892160 has 1280 divisors, whose sum is σ = 126895507200000. Its totient is φ = 8734054957056.

The previous prime is 34126354892101. The next prime is 34126354892183. The reversal of 34126354892160 is 6129845362143.

It is a happy number.

34126354892160 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 6 + 3 + 548 + 92 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34126354892097 and 34126354892106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56972211541 + ... + 56972212139.

It is an arithmetic number, because the mean of its divisors is an integer number (99137115000).

Almost surely, 2^{34126354892160} is an apocalyptic number.

34126354892160 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 34126354892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63447753600000).

34126354892160 is an abundant number, since it is smaller than the sum of its proper divisors (92769152307840).

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

34126354892160 is a wasteful number, since it uses less digits than its factorization.

34126354892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 34126354892160 in words is "thirty-four trillion, one hundred twenty-six billion, three hundred fifty-four million, eight hundred ninety-two thousand, one hundred sixty".