3631377640 has 96 divisors (see below), whose sum is σ = 9017347680. Its totient is φ = 1305200000.

The previous prime is 3631377613. The next prime is 3631377643. The reversal of 3631377640 is 467731363.

3631377640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3631377593 and 3631377602.

It is not an unprimeable number, because it can be changed into a prime (3631377643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14467515 + ... + 14467765.

It is an arithmetic number, because the mean of its divisors is an integer number (93930705).

Almost surely, 2^3631377640 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 3631377640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508673840).

3631377640 is an abundant number, since it is smaller than the sum of its proper divisors (5385970040).

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

3631377640 is a wasteful number, since it uses less digits than its factorization.

3631377640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 40.

The square root of 3631377640 is about 60260.9130365613. The cubic root of 3631377640 is about 1537.0587646097.

The spelling of 3631377640 in words is "three billion, six hundred thirty-one million, three hundred seventy-seven thousand, six hundred forty".