34867796770816 has 171 divisors, whose sum is σ = 73720370983779. Its totient is φ = 16489115025408.

The previous prime is 34867796770801. The next prime is 34867796770879. The reversal of 34867796770816 is 61807769776843.

The square root of 34867796770816 is 5904896.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57442827985 + ... + 57442828591.

Almost surely, 2^{34867796770816} is an apocalyptic number.

34867796770816 is the 5904896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34867796770816

34867796770816 is an abundant number, since it is smaller than the sum of its proper divisors (38852574212963).

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

34867796770816 is an frugal number, since it uses more digits than its factorization.

34867796770816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 3584673792, while the sum is 79.

The spelling of 34867796770816 in words is "thirty-four trillion, eight hundred sixty-seven billion, seven hundred ninety-six million, seven hundred seventy thousand, eight hundred sixteen".