34707690000 has 675 divisors, whose sum is σ = 131758029403. Its totient is φ = 8852976000.

The previous prime is 34707689981. The next prime is 34707690001. The reversal of 34707690000 is 9670743.

The square root of 34707690000 is 186300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2721082896 + 31986607104 = 52164^2 + 178848^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×34707690000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34707690001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1509029989 + ... + 1509030011.

Almost surely, 2^34707690000 is an apocalyptic number.

34707690000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34707690000 is the 186300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34707690000

34707690000 is an abundant number, since it is smaller than the sum of its proper divisors (97050339403).

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

34707690000 is an frugal number, since it uses more digits than its factorization.

34707690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Multiplying 34707690000 by its sum of digits (36), we get a square (1249476840000 = 1117800²).

34707690000 divided by its sum of digits (36) gives a square (964102500 = 31050²).

The spelling of 34707690000 in words is "thirty-four billion, seven hundred seven million, six hundred ninety thousand".