3649640000 has 140 divisors (see below), whose sum is σ = 9445776384. Its totient is φ = 1396032000.

The previous prime is 3649639997. The next prime is 3649640009. The reversal of 3649640000 is 469463.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3649640009) 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, 918017 + ... + 921983.

Almost surely, 2^3649640000 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 3649640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722888192).

3649640000 is an abundant number, since it is smaller than the sum of its proper divisors (5796136384).

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

3649640000 is an equidigital number, since it uses as much as digits as its factorization.

3649640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 3649640000 is about 60412.2504133061. The cubic root of 3649640000 is about 1539.6311029597.

The spelling of 3649640000 in words is "three billion, six hundred forty-nine million, six hundred forty thousand".