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3980643840 = 293251710163
BaseRepresentation
bin1110110101000011…
…1100111000000000
3101021102021122210100
43231100330320000
531123021100330
61454555002400
7200433625425
oct35520747000
911242248710
103980643840
111762a736a8
12931139400
134b5905374
1429a955d4c
15184700060
hexed43ce00

3980643840 has 240 divisors, whose sum is σ = 14598471888. Its totient is φ = 998965248.

The previous prime is 3980643827. The next prime is 3980643851. The reversal of 3980643840 is 483460893.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386599 + ... + 396761.

Almost surely, 23980643840 is an apocalyptic number.

3980643840 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 3980643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299235944).

3980643840 is an abundant number, since it is smaller than the sum of its proper divisors (10617828048).

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

3980643840 is a wasteful number, since it uses less digits than its factorization.

3980643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10209 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3980643840 is about 63092.3437510448. The cubic root of 3980643840 is about 1584.8364116477.

The spelling of 3980643840 in words is "three billion, nine hundred eighty million, six hundred forty-three thousand, eight hundred forty".