3653690880 has 640 divisors, whose sum is σ = 14534784000. Its totient is φ = 780337152.

The previous prime is 3653690827. The next prime is 3653690891. The reversal of 3653690880 is 880963563.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50050524 + ... + 50050596.

It is an arithmetic number, because the mean of its divisors is an integer number (22710600).

Almost surely, 2^3653690880 is an apocalyptic number.

3653690880 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 3653690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267392000).

3653690880 is an abundant number, since it is smaller than the sum of its proper divisors (10881093120).

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

3653690880 is an equidigital number, since it uses as much as digits as its factorization.

3653690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3653690880 is about 60445.7680900822. The cubic root of 3653690880 is about 1540.2005248525.

The spelling of 3653690880 in words is "three billion, six hundred fifty-three million, six hundred ninety thousand, eight hundred eighty".