34401374984352 has 24 divisors (see below), whose sum is σ = 90303609334176. Its totient is φ = 11467124994752.

The previous prime is 34401374984351. The next prime is 34401374984393. The reversal of 34401374984352 is 25348947310443.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 34401374984292 and 34401374984301.

It is not an unprimeable number, because it can be changed into a prime (34401374984351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179173827948 + ... + 179173828139.

It is an arithmetic number, because the mean of its divisors is an integer number (3762650388924).

Almost surely, 2^{34401374984352} is an apocalyptic number.

34401374984352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34401374984352 is an abundant number, since it is smaller than the sum of its proper divisors (55902234349824).

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

34401374984352 is a wasteful number, since it uses less digits than its factorization.

34401374984352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358347656100 (or 358347656092 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 34401374984352 in words is "thirty-four trillion, four hundred one billion, three hundred seventy-four million, nine hundred eighty-four thousand, three hundred fifty-two".