3669260800 has 120 divisors (see below), whose sum is σ = 9148946796. Its totient is φ = 1458339840.

The previous prime is 3669260789. The next prime is 3669260809. The reversal of 3669260800 is 80629663.

It can be written as a sum of positive squares in 6 ways, for example, as 1853819136 + 1815441664 = 43056^2 + 42608^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3669260809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2213572 + ... + 2215228.

Almost surely, 2^3669260800 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 3669260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574473398).

3669260800 is an abundant number, since it is smaller than the sum of its proper divisors (5479685996).

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

3669260800 is a wasteful number, since it uses less digits than its factorization.

3669260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 3669260800 is about 60574.4236456279. The cubic root of 3669260800 is about 1542.3852394380.

The spelling of 3669260800 in words is "three billion, six hundred sixty-nine million, two hundred sixty thousand, eight hundred".