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3898440000 = 263254721317
BaseRepresentation
bin1110100001011101…
…0111100101000000
3101001200121021022200
43220113113211000
530441000040000
61442501033200
7165415123200
oct35027274500
911050537280
103898440000
111720627744
129096b5800
134a1882b40
1428da78400
1517c3b3500
hexe85d7940

3898440000 has 1260 divisors, whose sum is σ = 18521386884. Its totient is φ = 774144000.

The previous prime is 3898439887. The next prime is 3898440011. The reversal of 3898440000 is 448983.

It can be written as a sum of positive squares in 10 ways, for example, as 3148556544 + 749883456 = 56112^2 + 27384^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 229319992 + ... + 229320008.

Almost surely, 23898440000 is an apocalyptic number.

3898440000 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 3898440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260693442).

3898440000 is an abundant number, since it is smaller than the sum of its proper divisors (14622946884).

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

3898440000 is a wasteful number, since it uses less digits than its factorization.

3898440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3898440000 is about 62437.4887387377. The cubic root of 3898440000 is about 1573.8510138530.

Adding to 3898440000 its reverse (448983), we get a palindrome (3898888983).

The spelling of 3898440000 in words is "three billion, eight hundred ninety-eight million, four hundred forty thousand".