3741600 has 72 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 997120.

The previous prime is 3741599. The next prime is 3741611. The reversal of 3741600 is 61473.

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, 1621 + ... + 3179.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 2^3741600 is an apocalyptic number.

3741600 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 3741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3741600 is an abundant number, since it is smaller than the sum of its proper divisors (8445120).

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

3741600 is a wasteful number, since it uses less digits than its factorization.

3741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3741600 is about 1934.3215865000. The cubic root of 3741600 is about 155.2455352270.

The spelling of 3741600 in words is "three million, seven hundred forty-one thousand, six hundred".