3786240 has 160 divisors (see below), whose sum is σ = 13258080. Its totient is φ = 917504.

The previous prime is 3786229. The next prime is 3786241. The reversal of 3786240 is 426873.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3786240² = 28671226675200, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3786198 and 3786207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786241) 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, 130546 + ... + 130574.

It is an arithmetic number, because the mean of its divisors is an integer number (82863).

Almost surely, 2^3786240 is an apocalyptic number.

3786240 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 3786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629040).

3786240 is an abundant number, since it is smaller than the sum of its proper divisors (9471840).

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

3786240 is a wasteful number, since it uses less digits than its factorization.

3786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3786240 is about 1945.8263026283. The cubic root of 3786240 is about 155.8604932945.

The spelling of 3786240 in words is "three million, seven hundred eighty-six thousand, two hundred forty".