34989446016 has 128 divisors (see below), whose sum is σ = 118020038400. Its totient is φ = 9996977664.

The previous prime is 34989445973. The next prime is 34989446033. The reversal of 34989446016 is 61064498943.

It is a happy number.

34989446016 is a `hidden beast` number, since 3 + 4 + 98 + 94 + 460 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34989446016² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698970 + ... + 747353.

It is an arithmetic number, because the mean of its divisors is an integer number (922031550).

Almost surely, 2^34989446016 is an apocalyptic number.

34989446016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34989446016 is an abundant number, since it is smaller than the sum of its proper divisors (83030592384).

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

34989446016 is a wasteful number, since it uses less digits than its factorization.

34989446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446353 (or 1446335 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 34989446016 in words is "thirty-four billion, nine hundred eighty-nine million, four hundred forty-six thousand, sixteen".