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3990168000 = 263353721329
BaseRepresentation
bin1110110111010101…
…0010000111000000
3101022002012112111000
43231311102013000
531132440334000
61455535052000
7200610603600
oct35565220700
911262175430
103990168000
111768389305
12934371000
134b788b470
1429bd14c00
15185482000
hexedd521c0

3990168000 has 1344 divisors, whose sum is σ = 18971971200. Its totient is φ = 812851200.

The previous prime is 3990167981. The next prime is 3990168001. The reversal of 3990168000 is 8610993.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990168001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137591986 + ... + 137592014.

It is an arithmetic number, because the mean of its divisors is an integer number (14116050).

Almost surely, 23990168000 is an apocalyptic number.

3990168000 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 3990168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9485985600).

3990168000 is an abundant number, since it is smaller than the sum of its proper divisors (14981803200).

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

3990168000 is a wasteful number, since it uses less digits than its factorization.

3990168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3990168000 is about 63167.7765953496. The cubic root of 3990168000 is about 1586.0993742818.

Adding to 3990168000 its reverse (8610993), we get a palindrome (3998778993).

The spelling of 3990168000 in words is "three billion, nine hundred ninety million, one hundred sixty-eight thousand".