3787840 has 112 divisors (see below), whose sum is σ = 10972800. Its totient is φ = 1216512.

The previous prime is 3787811. The next prime is 3787843. The reversal of 3787840 is 487873.

3787840 = T₇₅ + T₇₆ + ... + T₂₈₄.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 3787840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3787843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42516 + ... + 42604.

Almost surely, 2^3787840 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 3787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486400).

3787840 is an abundant number, since it is smaller than the sum of its proper divisors (7184960).

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

3787840 is a wasteful number, since it uses less digits than its factorization.

3787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 3787840 is about 1946.2373955918. The cubic root of 3787840 is about 155.8824448586.

The spelling of 3787840 in words is "three million, seven hundred eighty-seven thousand, eight hundred forty".