3641382120 has 32 divisors (see below), whose sum is σ = 10924146720. Its totient is φ = 971035200.

The previous prime is 3641382113. The next prime is 3641382127. The reversal of 3641382120 is 212831463.

It is an interprime number because it is at equal distance from previous prime (3641382113) and next prime (3641382127).

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

It is not an unprimeable number, because it can be changed into a prime (3641382127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15172306 + ... + 15172545.

It is an arithmetic number, because the mean of its divisors is an integer number (341379585).

Almost surely, 2^3641382120 is an apocalyptic number.

3641382120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3641382120 is an abundant number, since it is smaller than the sum of its proper divisors (7282764600).

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

3641382120 is a wasteful number, since it uses less digits than its factorization.

3641382120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30344865 (or 30344861 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3641382120 is about 60343.8656368649. The cubic root of 3641382120 is about 1538.4690075048.

The spelling of 3641382120 in words is "three billion, six hundred forty-one million, three hundred eighty-two thousand, one hundred twenty".