35352006630672 has 80 divisors (see below), whose sum is σ = 92444793333120. Its totient is φ = 11639909630976.

The previous prime is 35352006630671. The next prime is 35352006630751. The reversal of 35352006630672 is 27603660025353.

It is a super-2 number, since 2×35352006630672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (35352006630671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109093 + ... + 8409275.

It is an arithmetic number, because the mean of its divisors is an integer number (1155559916664).

Almost surely, 2^{35352006630672} 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 35352006630672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46222396666560).

35352006630672 is an abundant number, since it is smaller than the sum of its proper divisors (57092786702448).

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

35352006630672 is a wasteful number, since it uses less digits than its factorization.

35352006630672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8301280 (or 8301274 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 48.

The spelling of 35352006630672 in words is "thirty-five trillion, three hundred fifty-two billion, six million, six hundred thirty thousand, six hundred seventy-two".