3746800 has 120 divisors (see below), whose sum is σ = 10378800. Its totient is φ = 1290240.

The previous prime is 3746791. The next prime is 3746801. The reversal of 3746800 is 86473.

3746800 = 163² + 164² + ... + 249².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3746801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129186 + ... + 129214.

It is an arithmetic number, because the mean of its divisors is an integer number (86490).

Almost surely, 2^3746800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189400).

3746800 is an abundant number, since it is smaller than the sum of its proper divisors (6632000).

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

3746800 is a wasteful number, since it uses less digits than its factorization.

3746800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3746800 is about 1935.6652603175. The cubic root of 3746800 is about 155.3174209704.

The spelling of 3746800 in words is "three million, seven hundred forty-six thousand, eight hundred".