34357972878 has 128 divisors (see below), whose sum is σ = 81259200000. Its totient is φ = 10730506752.

The previous prime is 34357972837. The next prime is 34357972903. The reversal of 34357972878 is 87827975343.

34357972878 is a `hidden beast` number, since 34 + 3 + 579 + 7 + 28 + 7 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57938950 + ... + 57939542.

It is an arithmetic number, because the mean of its divisors is an integer number (634837500).

Almost surely, 2^34357972878 is an apocalyptic number.

34357972878 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34357972878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40629600000).

34357972878 is an abundant number, since it is smaller than the sum of its proper divisors (46901227122).

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

34357972878 is a wasteful number, since it uses less digits than its factorization.

34357972878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 34357972878 in words is "thirty-four billion, three hundred fifty-seven million, nine hundred seventy-two thousand, eight hundred seventy-eight".