3740800 has 96 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 1274880.

The previous prime is 3740783. The next prime is 3740809. The reversal of 3740800 is 80473.

3740800 = T₁₁₃ + T₁₁₄ + ... + T₂₈₇.

It is not an unprimeable number, because it can be changed into a prime (3740809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22317 + ... + 22483.

It is an arithmetic number, because the mean of its divisors is an integer number (110670).

Almost surely, 2^3740800 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 3740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

3740800 is an abundant number, since it is smaller than the sum of its proper divisors (6883520).

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

3740800 is a wasteful number, since it uses less digits than its factorization.

3740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 3740800 is about 1934.1147845979. The cubic root of 3740800 is about 155.2344699714.

The spelling of 3740800 in words is "three million, seven hundred forty thousand, eight hundred".