3773640 has 128 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 890880.

The previous prime is 3773639. The next prime is 3773657. The reversal of 3773640 is 463773.

3773640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3773598 and 3773607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63931 + ... + 63989.

It is an arithmetic number, because the mean of its divisors is an integer number (99225).

Almost surely, 2^3773640 is an apocalyptic number.

3773640 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 3773640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

3773640 is an abundant number, since it is smaller than the sum of its proper divisors (8927160).

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

3773640 is a wasteful number, since it uses less digits than its factorization.

3773640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 3773640 is about 1942.5859054364. The cubic root of 3773640 is about 155.6874082371.

The spelling of 3773640 in words is "three million, seven hundred seventy-three thousand, six hundred forty".