34820378837953 has 16 divisors (see below), whose sum is σ = 37724954783040. Its totient is φ = 32030621683200.

The previous prime is 34820378837941. The next prime is 34820378837971. The reversal of 34820378837953 is 35973887302843.

It is not a de Polignac number, because 34820378837953 - 2²¹ = 34820376740801 is a prime.

It is a super-2 number, since 2×34820378837953² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34820378835953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105757000 + ... + 106085737.

It is an arithmetic number, because the mean of its divisors is an integer number (2357809673940).

Almost surely, 2^{34820378837953} is an apocalyptic number.

It is an amenable number.

34820378837953 is a deficient number, since it is larger than the sum of its proper divisors (2904575945087).

34820378837953 is a wasteful number, since it uses less digits than its factorization.

34820378837953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211843008.

The product of its (nonzero) digits is 731566080, while the sum is 70.

The spelling of 34820378837953 in words is "thirty-four trillion, eight hundred twenty billion, three hundred seventy-eight million, eight hundred thirty-seven thousand, nine hundred fifty-three".