3669201000 has 192 divisors, whose sum is σ = 12446525520. Its totient is φ = 974937600.

The previous prime is 3669200963. The next prime is 3669201007. The reversal of 3669201000 is 1029663.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 949995684 + 2719205316 = 30822^2 + 52146^2 .

It is not an unprimeable number, because it can be changed into a prime (3669201007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3356454 + ... + 3357546.

Almost surely, 2^3669201000 is an apocalyptic number.

3669201000 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 3669201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223262760).

3669201000 is an abundant number, since it is smaller than the sum of its proper divisors (8777324520).

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

3669201000 is a wasteful number, since it uses less digits than its factorization.

3669201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3669201000 is about 60573.9300359486. The cubic root of 3669201000 is about 1542.3768603535.

The spelling of 3669201000 in words is "three billion, six hundred sixty-nine million, two hundred one thousand".