34905396132 has 36 divisors (see below), whose sum is σ = 93423267756. Its totient is φ = 10950712320.

The previous prime is 34905396131. The next prime is 34905396133. The reversal of 34905396132 is 23169350943.

It is an interprime number because it is at equal distance from previous prime (34905396131) and next prime (34905396133).

It can be written as a sum of positive squares in 2 ways, for example, as 29685911616 + 5219484516 = 172296^2 + 72246^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×34905396132² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34905396131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28516869 + ... + 28518092.

It is an arithmetic number, because the mean of its divisors is an integer number (2595090771).

Almost surely, 2^34905396132 is an apocalyptic number.

It is an amenable number.

34905396132 is an abundant number, since it is smaller than the sum of its proper divisors (58517871624).

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

34905396132 is a wasteful number, since it uses less digits than its factorization.

34905396132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57034988 (or 57034983 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 34905396132 in words is "thirty-four billion, nine hundred five million, three hundred ninety-six thousand, one hundred thirty-two".