3652920000 has 420 divisors, whose sum is σ = 13358505160. Its totient is φ = 953856000.

The previous prime is 3652919989. The next prime is 3652920001. The reversal of 3652920000 is 292563.

3652920000 is a `hidden beast` number, since 3 + 652 + 9 + 2 + 0 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3652920001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26279931 + ... + 26280069.

Almost surely, 2^3652920000 is an apocalyptic number.

3652920000 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 3652920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679252580).

3652920000 is an abundant number, since it is smaller than the sum of its proper divisors (9705585160).

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

3652920000 is a wasteful number, since it uses less digits than its factorization.

3652920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3652920000 is about 60439.3911286340. The cubic root of 3652920000 is about 1540.0921966504.

The spelling of 3652920000 in words is "three billion, six hundred fifty-two million, nine hundred twenty thousand".