3643814832 has 240 divisors, whose sum is σ = 11708000640. Its totient is φ = 970776576.

The previous prime is 3643814831. The next prime is 3643814857. The reversal of 3643814832 is 2384183463.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3643814831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2993488 + ... + 2994704.

It is an arithmetic number, because the mean of its divisors is an integer number (48783336).

Almost surely, 2^3643814832 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 3643814832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854000320).

3643814832 is an abundant number, since it is smaller than the sum of its proper divisors (8064185808).

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

3643814832 is a wasteful number, since it uses less digits than its factorization.

3643814832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1315 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 3643814832 is about 60364.0193492779. The cubic root of 3643814832 is about 1538.8115348516.

The spelling of 3643814832 in words is "three billion, six hundred forty-three million, eight hundred fourteen thousand, eight hundred thirty-two".