3756900 has 72 divisors (see below), whose sum is σ = 12429760. Its totient is φ = 858240.

The previous prime is 3756887. The next prime is 3756917. The reversal of 3756900 is 96573.

3756900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3756900² = 28228595220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 1206 + ... + 2994.

Almost surely, 2^3756900 is an apocalyptic number.

3756900 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 3756900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214880).

3756900 is an abundant number, since it is smaller than the sum of its proper divisors (8672860).

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

3756900 is a wasteful number, since it uses less digits than its factorization.

3756900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 3756900 is about 1938.2724266728. The cubic root of 3756900 is about 155.4568553773.

It can be divided in two parts, 3756 and 900, that added together give a triangular number (4656 = T₉₆).

The spelling of 3756900 in words is "three million, seven hundred fifty-six thousand, nine hundred".