3652300080 has 480 divisors, whose sum is σ = 15176528640. Its totient is φ = 773867520.

The previous prime is 3652299983. The next prime is 3652300097. The reversal of 3652300080 is 800032563.

3652300080 is a `hidden beast` number, since 3 + 652 + 3 + 0 + 0 + 0 + 8 + 0 = 666.

3652300080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1955307 + ... + 1957173.

It is an arithmetic number, because the mean of its divisors is an integer number (31617768).

Almost surely, 2^3652300080 is an apocalyptic number.

3652300080 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 3652300080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588264320).

3652300080 is an abundant number, since it is smaller than the sum of its proper divisors (11524228560).

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

3652300080 is a wasteful number, since it uses less digits than its factorization.

3652300080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3652300080 is about 60434.2624675771. The cubic root of 3652300080 is about 1540.0050711027.

The spelling of 3652300080 in words is "three billion, six hundred fifty-two million, three hundred thousand, eighty".