3682141200 has 120 divisors (see below), whose sum is σ = 13105733600. Its totient is φ = 981901440.

The previous prime is 3682141189. The next prime is 3682141217. The reversal of 3682141200 is 21412863.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159670 + ... + 181269.

Almost surely, 2^3682141200 is an apocalyptic number.

3682141200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3682141200 is an abundant number, since it is smaller than the sum of its proper divisors (9423592400).

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

3682141200 is a wasteful number, since it uses less digits than its factorization.

3682141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340966 (or 340949 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3682141200 is about 60680.6493043705. The cubic root of 3682141200 is about 1544.1879038765.

The spelling of 3682141200 in words is "three billion, six hundred eighty-two million, one hundred forty-one thousand, two hundred".