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3780423360 = 26335762507
BaseRepresentation
bin1110000101010100…
…1010111011000000
3100202110112101221000
43201111022323000
530220242021420
61423043332000
7162453032310
oct34125127300
910673471830
103780423360
11166aa5002a
12896081000
134832a18cc
1427c117440
15171d50690
hexe154aec0

3780423360 has 224 divisors, whose sum is σ = 15241950720. Its totient is φ = 864082944.

The previous prime is 3780423337. The next prime is 3780423373. The reversal of 3780423360 is 633240873.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 29227 + ... + 91733.

Almost surely, 23780423360 is an apocalyptic number.

3780423360 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 3780423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620975360).

3780423360 is an abundant number, since it is smaller than the sum of its proper divisors (11461527360).

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

3780423360 is a wasteful number, since it uses less digits than its factorization.

3780423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62540 (or 62524 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3780423360 is about 61485.1474748170. The cubic root of 3780423360 is about 1557.8063843183.

The spelling of 3780423360 in words is "three billion, seven hundred eighty million, four hundred twenty-three thousand, three hundred sixty".