3631920 has 80 divisors (see below), whose sum is σ = 11591520. Its totient is φ = 940032.

The previous prime is 3631919. The next prime is 3631921. The reversal of 3631920 is 291363.

It is an interprime number because it is at equal distance from previous prime (3631919) and next prime (3631921).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3631921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8676 + ... + 9084.

It is an arithmetic number, because the mean of its divisors is an integer number (144894).

Almost surely, 2^3631920 is an apocalyptic number.

3631920 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 3631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795760).

3631920 is an abundant number, since it is smaller than the sum of its proper divisors (7959600).

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

3631920 is a wasteful number, since it uses less digits than its factorization.

3631920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3631920 is about 1905.7596910419. The cubic root of 3631920 is about 153.7135282649.

The spelling of 3631920 in words is "three million, six hundred thirty-one thousand, nine hundred twenty".