3644379240 has 128 divisors (see below), whose sum is σ = 11213112960. Its totient is φ = 947257344.

The previous prime is 3644379223. The next prime is 3644379241. The reversal of 3644379240 is 429734463.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3644379192 and 3644379201.

It is not an unprimeable number, because it can be changed into a prime (3644379241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777544 + ... + 782216.

It is an arithmetic number, because the mean of its divisors is an integer number (87602445).

Almost surely, 2^3644379240 is an apocalyptic number.

3644379240 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 3644379240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606556480).

3644379240 is an abundant number, since it is smaller than the sum of its proper divisors (7568733720).

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

3644379240 is a wasteful number, since it uses less digits than its factorization.

3644379240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 3644379240 is about 60368.6942048609. The cubic root of 3644379240 is about 1538.8909820557.

The spelling of 3644379240 in words is "three billion, six hundred forty-four million, three hundred seventy-nine thousand, two hundred forty".