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379820342720 = 265713311273313
BaseRepresentation
bin1011000011011110000…
…11100111110111000000
31100022101022222120021202
411201233003213313000
522210333001431340
6450253112040332
736304205433650
oct5415703476700
91308338876252
10379820342720
11137098755195
12617410930a8
1329a8097c830
14145520b2360
159d2eee0c15
hex586f0e7dc0

379820342720 has 448 divisors, whose sum is σ = 1158471745536. Its totient is φ = 115378421760.

The previous prime is 379820342711. The next prime is 379820342743. The reversal of 379820342720 is 27243028973.

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

It is a congruent number.

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, 114643784 + ... + 114647096.

It is an arithmetic number, because the mean of its divisors is an integer number (2585874432).

Almost surely, 2379820342720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379820342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579235872768).

379820342720 is an abundant number, since it is smaller than the sum of its proper divisors (778651402816).

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

379820342720 is a wasteful number, since it uses less digits than its factorization.

379820342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 379820342720 in words is "three hundred seventy-nine billion, eight hundred twenty million, three hundred forty-two thousand, seven hundred twenty".