3629976 has 128 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 921600.

The previous prime is 3629953. The next prime is 3629987. The reversal of 3629976 is 6799263.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 88516 + ... + 88556.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 2^3629976 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 3629976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3629976 is an abundant number, since it is smaller than the sum of its proper divisors (7982184).

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

3629976 is a wasteful number, since it uses less digits than its factorization.

3629976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 3629976 is about 1905.2495899488. The cubic root of 3629976 is about 153.6860981059.

The spelling of 3629976 in words is "three million, six hundred twenty-nine thousand, nine hundred seventy-six".