3642760000 has 280 divisors, whose sum is σ = 10455103296. Its totient is φ = 1244160000.

The previous prime is 3642759973. The next prime is 3642760003. The reversal of 3642760000 is 672463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642760003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7479757 + ... + 7480243.

Almost surely, 2^3642760000 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 3642760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227551648).

3642760000 is an abundant number, since it is smaller than the sum of its proper divisors (6812343296).

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

3642760000 is a wasteful number, since it uses less digits than its factorization.

3642760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3642760000 is about 60355.2814590405. The cubic root of 3642760000 is about 1538.6630325833.

The spelling of 3642760000 in words is "three billion, six hundred forty-two million, seven hundred sixty thousand".