34408516290121 has 8 divisors (see below), whose sum is σ = 36478427035904. Its totient is φ = 32398602957360.

The previous prime is 34408516290107. The next prime is 34408516290139. The reversal of 34408516290121 is 12109261580443.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34408516290121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34418516290121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14999352075 + ... + 14999354368.

It is an arithmetic number, because the mean of its divisors is an integer number (4559803379488).

Almost surely, 2^{34408516290121} is an apocalyptic number.

34408516290121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34408516290121 is a deficient number, since it is larger than the sum of its proper divisors (2069910745783).

34408516290121 is a wasteful number, since it uses less digits than its factorization.

34408516290121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29998706511.

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 34408516290121 in words is "thirty-four trillion, four hundred eight billion, five hundred sixteen million, two hundred ninety thousand, one hundred twenty-one".