34995506490000 has 1575 divisors, whose sum is σ = 148247080649613. Its totient is φ = 7973417088000.

The previous prime is 34995506489963. The next prime is 34995506490029. The reversal of 34995506490000 is 9460559943.

The square root of 34995506490000 is 5915700.

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

34995506490000 is a `hidden beast` number, since 3 + 4 + 9 + 95 + 506 + 49 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 33561490659984 + 1434015830016 = 5793228^2 + 1197504^2 .

It is a tau number, because it is divible by the number of its divisors (1575).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 111806729844 + ... + 111806730156.

Almost surely, 2^{34995506490000} is an apocalyptic number.

34995506490000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34995506490000 is the 5915700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34995506490000

34995506490000 is an abundant number, since it is smaller than the sum of its proper divisors (113251574159613).

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

34995506490000 is an frugal number, since it uses more digits than its factorization.

34995506490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 34995506490000 in words is "thirty-four trillion, nine hundred ninety-five billion, five hundred six million, four hundred ninety thousand".