34875740712960 has 1456 divisors, whose sum is σ = 144005121232896. Its totient is φ = 7938322071552.

The previous prime is 34875740712931. The next prime is 34875740713123. The reversal of 34875740712960 is 6921704757843.

34875740712960 is a `hidden beast` number, since 3 + 4 + 87 + 57 + 407 + 12 + 96 + 0 = 666.

It is a super-2 number, since 2×34875740712960² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32084397537 + ... + 32084398623.

It is a 1-persistent number, because it is pandigital, but 2⋅34875740712960 = 69751481425920 is not.

Almost surely, 2^{34875740712960} is an apocalyptic number.

34875740712960 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 34875740712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72002560616448).

34875740712960 is an abundant number, since it is smaller than the sum of its proper divisors (109129380519936).

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

34875740712960 is an equidigital number, since it uses as much as digits as its factorization.

34875740712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 34875740712960 in words is "thirty-four trillion, eight hundred seventy-five billion, seven hundred forty million, seven hundred twelve thousand, nine hundred sixty".