3654240 has 96 divisors (see below), whose sum is σ = 12047616. Its totient is φ = 929280.

The previous prime is 3654227. The next prime is 3654317. The reversal of 3654240 is 424563.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3654240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10875 + ... + 11205.

It is an arithmetic number, because the mean of its divisors is an integer number (125496).

Almost surely, 2^3654240 is an apocalyptic number.

3654240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3654240 is the 1104-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023808).

3654240 is an abundant number, since it is smaller than the sum of its proper divisors (8393376).

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

3654240 is a wasteful number, since it uses less digits than its factorization.

3654240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3654240 is about 1911.6066541002. The cubic root of 3654240 is about 154.0277680855.

The spelling of 3654240 in words is "three million, six hundred fifty-four thousand, two hundred forty".