34376062050 has 288 divisors, whose sum is σ = 105303706560. Its totient is φ = 7963200000.

The previous prime is 34376062043. The next prime is 34376062067. The reversal of 34376062050 is 5026067343.

34376062050 is a `hidden beast` number, since 3 + 43 + 7 + 606 + 2 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34376061996 and 34376062014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14497365 + ... + 14499735.

It is an arithmetic number, because the mean of its divisors is an integer number (365637870).

Almost surely, 2^34376062050 is an apocalyptic number.

34376062050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34376062050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52651853280).

34376062050 is an abundant number, since it is smaller than the sum of its proper divisors (70927644510).

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

34376062050 is a wasteful number, since it uses less digits than its factorization.

34376062050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 34376062050 in words is "thirty-four billion, three hundred seventy-six million, sixty-two thousand, fifty".