34475239502976 has 64 divisors (see below), whose sum is σ = 94528882540800. Its totient is φ = 11121044997120.

The previous prime is 34475239502971. The next prime is 34475239502981. The reversal of 34475239502976 is 67920593257443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34475239502971) and next prime (34475239502981).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (34475239502971) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1448040831 + ... + 1448064638.

It is an arithmetic number, because the mean of its divisors is an integer number (1477013789700).

Almost surely, 2^{34475239502976} is an apocalyptic number.

It is an amenable number.

34475239502976 is an abundant number, since it is smaller than the sum of its proper divisors (60053643037824).

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

34475239502976 is a wasteful number, since it uses less digits than its factorization.

34475239502976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896105517 (or 2896105505 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 66.

The spelling of 34475239502976 in words is "thirty-four trillion, four hundred seventy-five billion, two hundred thirty-nine million, five hundred two thousand, nine hundred seventy-six".