3634880 has 56 divisors (see below), whose sum is σ = 8918448. Its totient is φ = 1410048.

The previous prime is 3634877. The next prime is 3634901. The reversal of 3634880 is 884363.

It is a super-2 number, since 2×3634880² = 26424705228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11687 + ... + 11993.

It is an arithmetic number, because the mean of its divisors is an integer number (159258).

Almost surely, 2^3634880 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 3634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459224).

3634880 is an abundant number, since it is smaller than the sum of its proper divisors (5283568).

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

3634880 is a wasteful number, since it uses less digits than its factorization.

3634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3634880 is about 1906.5361260674. The cubic root of 3634880 is about 153.7552755587.

The spelling of 3634880 in words is "three million, six hundred thirty-four thousand, eight hundred eighty".