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380907370368 = 27347172331433
BaseRepresentation
bin1011000101011111101…
…10010011011110000000
31100102012002102021220000
411202233312103132000
522220044241322433
6450553022520000
736343145140530
oct5425766233600
91312162367800
10380907370368
111375a630a148
12619a5136000
1329bc4c3aa65
14146165d54c0
159d95663113
hex58afd93780

380907370368 has 1280 divisors, whose sum is σ = 1480945213440. Its totient is φ = 94595973120.

The previous prime is 380907370339. The next prime is 380907370387. The reversal of 380907370368 is 863073709083.

380907370368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 879693480 + ... + 879693912.

It is an arithmetic number, because the mean of its divisors is an integer number (1156988448).

Almost surely, 2380907370368 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 380907370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740472606720).

380907370368 is an abundant number, since it is smaller than the sum of its proper divisors (1100037843072).

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

380907370368 is a wasteful number, since it uses less digits than its factorization.

380907370368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 380907370368 in words is "three hundred eighty billion, nine hundred seven million, three hundred seventy thousand, three hundred sixty-eight".