34900217856 has 351 divisors, whose sum is σ = 118119142791. Its totient is φ = 9899753472.

The previous prime is 34900217851. The next prime is 34900217861. The reversal of 34900217856 is 65871200943.

The square root of 34900217856 is 186816.

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

It is an interprime number because it is at equal distance from previous prime (34900217851) and next prime (34900217861).

It is a super-2 number, since 2×34900217856² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34900217851) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 251080635 + ... + 251080773.

It is a 2-persistent number, because it is pandigital, and so is 2⋅34900217856 = 69800435712, but 3⋅34900217856 = 104700653568 is not.

Almost surely, 2^34900217856 is an apocalyptic number.

34900217856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34900217856 is the 186816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34900217856

34900217856 is an abundant number, since it is smaller than the sum of its proper divisors (83218924935).

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

34900217856 is an equidigital number, since it uses as much as digits as its factorization.

34900217856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 34900217856 in words is "thirty-four billion, nine hundred million, two hundred seventeen thousand, eight hundred fifty-six".