3614880 has 96 divisors (see below), whose sum is σ = 12083904. Its totient is φ = 905216.

The previous prime is 3614873. The next prime is 3614893. The reversal of 3614880 is 884163.

It is a happy number.

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 (30).

It is an Ulam 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, 7939 + ... + 8381.

It is an arithmetic number, because the mean of its divisors is an integer number (125874).

Almost surely, 2^3614880 is an apocalyptic number.

3614880 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 3614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041952).

3614880 is an abundant number, since it is smaller than the sum of its proper divisors (8469024).

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

3614880 is a wasteful number, since it uses less digits than its factorization.

3614880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3614880 is about 1901.2837768203. The cubic root of 3614880 is about 153.4727570336.

The spelling of 3614880 in words is "three million, six hundred fourteen thousand, eight hundred eighty".