3429005107 has 16 divisors (see below), whose sum is σ = 3942172800. Its totient is φ = 2949791040.

The previous prime is 3429005101. The next prime is 3429005113. The reversal of 3429005107 is 7015009243.

It is an interprime number because it is at equal distance from previous prime (3429005101) and next prime (3429005113).

It is not a de Polignac number, because 3429005107 - 2¹⁹ = 3428480819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3429005101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180519 + ... + 198607.

It is an arithmetic number, because the mean of its divisors is an integer number (246385800).

Almost surely, 2^3429005107 is an apocalyptic number.

3429005107 is a deficient number, since it is larger than the sum of its proper divisors (513167693).

3429005107 is a wasteful number, since it uses less digits than its factorization.

3429005107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19026.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 3429005107 is about 58557.7074944025. The cubic root of 3429005107 is about 1507.9584572220.

The spelling of 3429005107 in words is "three billion, four hundred twenty-nine million, five thousand, one hundred seven".