37828434 has 32 divisors (see below), whose sum is σ = 91552896. Its totient is φ = 10172160.

The previous prime is 37828429. The next prime is 37828447. The reversal of 37828434 is 43482873.

It is a junction number, because it is equal to n+sod(n) for n = 37828392 and 37828401.

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, 25777 + ... + 27204.

It is an arithmetic number, because the mean of its divisors is an integer number (2861028).

Almost surely, 2^37828434 is an apocalyptic number.

37828434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

37828434 is an abundant number, since it is smaller than the sum of its proper divisors (53724462).

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

37828434 is a wasteful number, since it uses less digits than its factorization.

37828434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53010.

The product of its digits is 129024, while the sum is 39.

The square root of 37828434 is about 6150.4824201033. The cubic root of 37828434 is about 335.6908118015.

The spelling of 37828434 in words is "thirty-seven million, eight hundred twenty-eight thousand, four hundred thirty-four".