3726900 has 108 divisors (see below), whose sum is σ = 12085164. Its totient is φ = 960000.

The previous prime is 3726889. The next prime is 3726911. The reversal of 3726900 is 96273.

It is an interprime number because it is at equal distance from previous prime (3726889) and next prime (3726911).

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 3663396 = 252^2 + 1914^2 .

It is a super-2 number, since 2×3726900² = 27779567220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36850 + ... + 36950.

Almost surely, 2^3726900 is an apocalyptic number.

3726900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3726900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042582).

3726900 is an abundant number, since it is smaller than the sum of its proper divisors (8358264).

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

3726900 is a wasteful number, since it uses less digits than its factorization.

3726900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3726900 is about 1930.5180651835. The cubic root of 3726900 is about 155.0419588106.

The spelling of 3726900 in words is "three million, seven hundred twenty-six thousand, nine hundred".