3629640 has 128 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 795648.

The previous prime is 3629629. The next prime is 3629657. The reversal of 3629640 is 469263.

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

It is a junction number, because it is equal to n+sod(n) for n = 3629598 and 3629607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24286 + ... + 24434.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

Almost surely, 2^3629640 is an apocalyptic number.

3629640 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 3629640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

3629640 is an abundant number, since it is smaller than the sum of its proper divisors (9330360).

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

3629640 is a wasteful number, since it uses less digits than its factorization.

3629640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3629640 is about 1905.1614104847. The cubic root of 3629640 is about 153.6813560982.

The spelling of 3629640 in words is "three million, six hundred twenty-nine thousand, six hundred forty".