1834729101 has 48 divisors (see below), whose sum is σ = 2788531200. Its totient is φ = 1161298944.

The previous prime is 1834729081. The next prime is 1834729111. The reversal of 1834729101 is 1019274381.

It is a happy number.

1834729101 is a `hidden beast` number, since 1 + 83 + 472 + 9 + 101 = 666.

It is not a de Polignac number, because 1834729101 - 2⁵ = 1834729069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834729111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2551420 + ... + 2552138.

It is an arithmetic number, because the mean of its divisors is an integer number (58094400).

Almost surely, 2^1834729101 is an apocalyptic number.

It is an amenable number.

1834729101 is a deficient number, since it is larger than the sum of its proper divisors (953802099).

1834729101 is a wasteful number, since it uses less digits than its factorization.

1834729101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1834729101 is about 42833.7378826551. The cubic root of 1834729101 is about 1224.2139287906.

The spelling of 1834729101 in words is "one billion, eight hundred thirty-four million, seven hundred twenty-nine thousand, one hundred one".