34906568035878 has 384 divisors, whose sum is σ = 103110636994560. Its totient is φ = 8259395040000.

The previous prime is 34906568035877. The next prime is 34906568035931. The reversal of 34906568035878 is 87853086560943.

It is a happy number.

34906568035878 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 6 + 568 + 0 + 3 + 58 + 7 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34906568035877) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128031403 + ... + 128303753.

It is an arithmetic number, because the mean of its divisors is an integer number (268517283840).

Almost surely, 2^{34906568035878} is an apocalyptic number.

34906568035878 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 34906568035878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51555318497280).

34906568035878 is an abundant number, since it is smaller than the sum of its proper divisors (68204068958682).

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

34906568035878 is a wasteful number, since it uses less digits than its factorization.

34906568035878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272584 (or 272581 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 34906568035878 in words is "thirty-four trillion, nine hundred six billion, five hundred sixty-eight million, thirty-five thousand, eight hundred seventy-eight".