3679784640 has 560 divisors, whose sum is σ = 15852843072. Its totient is φ = 790953984.

The previous prime is 3679784627. The next prime is 3679784659. The reversal of 3679784640 is 464879763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3083884 + ... + 3085076.

Almost surely, 2^3679784640 is an apocalyptic number.

3679784640 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 3679784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926421536).

3679784640 is an abundant number, since it is smaller than the sum of its proper divisors (12173058432).

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

3679784640 is a wasteful number, since it uses less digits than its factorization.

3679784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3679784640 is about 60661.2284742075. The cubic root of 3679784640 is about 1543.8584082710.

The spelling of 3679784640 in words is "three billion, six hundred seventy-nine million, seven hundred eighty-four thousand, six hundred forty".