3827690000 has 50 divisors (see below), whose sum is σ = 9267244470. Its totient is φ = 1531072000.

The previous prime is 3827689981. The next prime is 3827690003. The reversal of 3827690000 is 967283.

It can be written as a sum of positive squares in 5 ways, for example, as 1675101184 + 2152588816 = 40928^2 + 46396^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×3827690000² = 29302421472200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3827690003) 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 9 ways as a sum of consecutive naturals, for example, 181385 + ... + 201384.

Almost surely, 2^3827690000 is an apocalyptic number.

It is an amenable number.

3827690000 is an abundant number, since it is smaller than the sum of its proper divisors (5439554470).

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

3827690000 is an equidigital number, since it uses as much as digits as its factorization.

3827690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382797 (or 382776 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3827690000 is about 61868.3279230981. The cubic root of 3827690000 is about 1564.2719311402.

The spelling of 3827690000 in words is "three billion, eight hundred twenty-seven million, six hundred ninety thousand".