3826006900 has 36 divisors (see below), whose sum is σ = 8310241548. Its totient is φ = 1528963840.

The previous prime is 3826006879. The next prime is 3826006913. The reversal of 3826006900 is 96006283.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 45724644 + 3780282256 = 6762^2 + 61484^2 .

It is a super-2 number, since 2×3826006900² = 29276657597695220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92262 + ... + 127138.

It is an arithmetic number, because the mean of its divisors is an integer number (230840043).

Almost surely, 2^3826006900 is an apocalyptic number.

It is an amenable number.

3826006900 is an abundant number, since it is smaller than the sum of its proper divisors (4484234648).

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

3826006900 is a wasteful number, since it uses less digits than its factorization.

3826006900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35988 (or 35981 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 3826006900 is about 61854.7241526466. The cubic root of 3826006900 is about 1564.0426185886.

The spelling of 3826006900 in words is "three billion, eight hundred twenty-six million, six thousand, nine hundred".