1629837342 has 128 divisors (see below), whose sum is σ = 4265395200. Its totient is φ = 451640448.

The previous prime is 1629837269. The next prime is 1629837343. The reversal of 1629837342 is 2437389261.

1629837342 is a `hidden beast` number, since 16 + 298 + 3 + 7 + 342 = 666.

It is a super-2 number, since 2×1629837342² = 5312739522755249928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1629837343) 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 63 ways as a sum of consecutive naturals, for example, 3201784 + ... + 3202292.

It is an arithmetic number, because the mean of its divisors is an integer number (33323400).

Almost surely, 2^1629837342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1629837342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132697600).

1629837342 is an abundant number, since it is smaller than the sum of its proper divisors (2635557858).

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

1629837342 is a wasteful number, since it uses less digits than its factorization.

1629837342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 761 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1629837342 is about 40371.2439986682. The cubic root of 1629837342 is about 1176.8327738421.

The spelling of 1629837342 in words is "one billion, six hundred twenty-nine million, eight hundred thirty-seven thousand, three hundred forty-two".