3640376640 has 112 divisors (see below), whose sum is σ = 11641775040. Its totient is φ = 963747840.

The previous prime is 3640376639. The next prime is 3640376647. The reversal of 3640376640 is 466730463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640376647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119800 + ... + 147080.

It is an arithmetic number, because the mean of its divisors is an integer number (103944420).

Almost surely, 2^3640376640 is an apocalyptic number.

3640376640 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 3640376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820887520).

3640376640 is an abundant number, since it is smaller than the sum of its proper divisors (8001398400).

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

3640376640 is a wasteful number, since it uses less digits than its factorization.

3640376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27440 (or 27430 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 3640376640 is about 60335.5338088593. The cubic root of 3640376640 is about 1538.3273907442.

The spelling of 3640376640 in words is "three billion, six hundred forty million, three hundred seventy-six thousand, six hundred forty".