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3721273920 = 263357134733
BaseRepresentation
bin1101110111001110…
…0010001001000000
3100121100020022011000
43131303202021000
530110121231140
61413131452000
7161134210050
oct33563421100
910540208130
103721273920
11163a6201a1
1287a2b7000
13473c61b40
1427431b560
1516ba69a30
hexddce2240

3721273920 has 448 divisors, whose sum is σ = 16160739840. Its totient is φ = 784982016.

The previous prime is 3721273889. The next prime is 3721273961. The reversal of 3721273920 is 293721273.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 783874 + ... + 788606.

It is an arithmetic number, because the mean of its divisors is an integer number (36073080).

Almost surely, 23721273920 is an apocalyptic number.

3721273920 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 3721273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8080369920).

3721273920 is an abundant number, since it is smaller than the sum of its proper divisors (12439465920).

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

3721273920 is a wasteful number, since it uses less digits than its factorization.

3721273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3721273920 is about 61002.2452045824. The cubic root of 3721273920 is about 1549.6390307537.

The spelling of 3721273920 in words is "three billion, seven hundred twenty-one million, two hundred seventy-three thousand, nine hundred twenty".