3643370640 has 480 divisors, whose sum is σ = 15949979136. Its totient is φ = 723271680.

The previous prime is 3643370629. The next prime is 3643370641. The reversal of 3643370640 is 460733463.

3643370640 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 3 + 7 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3643370595 and 3643370604.

It is not an unprimeable number, because it can be changed into a prime (3643370641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1112205 + ... + 1115475.

Almost surely, 2^3643370640 is an apocalyptic number.

3643370640 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 3643370640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7974989568).

3643370640 is an abundant number, since it is smaller than the sum of its proper divisors (12306608496).

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

3643370640 is a wasteful number, since it uses less digits than its factorization.

3643370640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 3643370640 is about 60360.3399592812. The cubic root of 3643370640 is about 1538.7490037241.

The spelling of 3643370640 in words is "three billion, six hundred forty-three million, three hundred seventy thousand, six hundred forty".