36428129305344 has 720 divisors, whose sum is σ = 130748810024448. Its totient is φ = 9862374703104.

The previous prime is 36428129305291. The next prime is 36428129305483. The reversal of 36428129305344 is 44350392182463.

36428129305344 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 8 + 1 + 293 + 0 + 5 + 344 = 666.

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 79 ways as a sum of consecutive naturals, for example, 357168084 + ... + 357270060.

Almost surely, 2^{36428129305344} 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 36428129305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65374405012224).

36428129305344 is an abundant number, since it is smaller than the sum of its proper divisors (94320680719104).

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

36428129305344 is a wasteful number, since it uses less digits than its factorization.

36428129305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102142 (or 102119 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 36428129305344 in words is "thirty-six trillion, four hundred twenty-eight billion, one hundred twenty-nine million, three hundred five thousand, three hundred forty-four".