3673206144 has 160 divisors (see below), whose sum is σ = 10979443200. Its totient is φ = 1219027968.

The previous prime is 3673206143. The next prime is 3673206197. The reversal of 3673206144 is 4416023763.

It is a happy number.

3673206144 is a `hidden beast` number, since 3 + 6 + 7 + 32 + 0 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3673206099 and 3673206108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673206143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2871297 + ... + 2872575.

It is an arithmetic number, because the mean of its divisors is an integer number (68621520).

Almost surely, 2^3673206144 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 3673206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489721600).

3673206144 is an abundant number, since it is smaller than the sum of its proper divisors (7306237056).

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

3673206144 is a wasteful number, since it uses less digits than its factorization.

3673206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3673206144 is about 60606.9809840418. The cubic root of 3673206144 is about 1542.9378539788.

The spelling of 3673206144 in words is "three billion, six hundred seventy-three million, two hundred six thousand, one hundred forty-four".