3649820580 has 384 divisors, whose sum is σ = 13837824000. Its totient is φ = 780088320.

The previous prime is 3649820569. The next prime is 3649820621. The reversal of 3649820580 is 850289463.

3649820580 is a `hidden beast` number, since 3 + 6 + 49 + 8 + 20 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6391695 + ... + 6392265.

It is an arithmetic number, because the mean of its divisors is an integer number (36036000).

Almost surely, 2^3649820580 is an apocalyptic number.

3649820580 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 3649820580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912000).

3649820580 is an abundant number, since it is smaller than the sum of its proper divisors (10188003420).

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

3649820580 is a wasteful number, since it uses less digits than its factorization.

3649820580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3649820580 is about 60413.7449592392. The cubic root of 3649820580 is about 1539.6564956011.

The spelling of 3649820580 in words is "three billion, six hundred forty-nine million, eight hundred twenty thousand, five hundred eighty".