34728755409360 has 360 divisors, whose sum is σ = 122468438137344. Its totient is φ = 8810337047040.

The previous prime is 34728755409319. The next prime is 34728755409373. The reversal of 34728755409360 is 6390455782743.

It is a happy number.

34728755409360 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 87 + 5 + 540 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×34728755409360² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77472429 + ... + 77919411.

Almost surely, 2^{34728755409360} is an apocalyptic number.

34728755409360 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 34728755409360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61234219068672).

34728755409360 is an abundant number, since it is smaller than the sum of its proper divisors (87739682727984).

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

34728755409360 is a wasteful number, since it uses less digits than its factorization.

34728755409360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447151 (or 447083 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 34728755409360 in words is "thirty-four trillion, seven hundred twenty-eight billion, seven hundred fifty-five million, four hundred nine thousand, three hundred sixty".