34378376121 has 24 divisors (see below), whose sum is σ = 50660124840. Its totient is φ = 22460798976.

The previous prime is 34378376113. The next prime is 34378376143. The reversal of 34378376121 is 12167387343.

It can be written as a sum of positive squares in 4 ways, for example, as 2315534400 + 32062841721 = 48120^2 + 179061^2 .

It is not a de Polignac number, because 34378376121 - 2³ = 34378376113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34378376111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99396 + ... + 280421.

It is an arithmetic number, because the mean of its divisors is an integer number (2110838535).

Almost surely, 2^34378376121 is an apocalyptic number.

It is an amenable number.

34378376121 is a deficient number, since it is larger than the sum of its proper divisors (16281748719).

34378376121 is a wasteful number, since it uses less digits than its factorization.

34378376121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380025 (or 380022 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

It can be divided in two parts, 343783 and 76121, that added together give a square (419904 = 648²).

The spelling of 34378376121 in words is "thirty-four billion, three hundred seventy-eight million, three hundred seventy-six thousand, one hundred twenty-one".