3761640 has 128 divisors (see below), whose sum is σ = 12988800. Its totient is φ = 979776.

The previous prime is 3761629. The next prime is 3761647. The reversal of 3761640 is 461673.

3761640 is a `hidden beast` number, since 3 + 7 + 616 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3761647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87459 + ... + 87501.

It is an arithmetic number, because the mean of its divisors is an integer number (101475).

Almost surely, 2^3761640 is an apocalyptic number.

3761640 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 3761640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494400).

3761640 is an abundant number, since it is smaller than the sum of its proper divisors (9227160).

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

3761640 is an equidigital number, since it uses as much as digits as its factorization.

3761640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3761640 is about 1939.4947795753. The cubic root of 3761640 is about 155.5222067588.

It can be divided in two parts, 376 and 1640, that added together give a triangular number (2016 = T₆₃).

The spelling of 3761640 in words is "three million, seven hundred sixty-one thousand, six hundred forty".